Mathematics High School

Name all the different types of factoring. Explain, in words, how to do each one.
And then give an example for each. (You do not have to solve your example).

Answers

Answer 1
1) Factoring out common factors. If each term in the polynomial shares a common factor.
Ex: 6x^2+3x = 3x(2x+1)

2) The sum-product pattern. If the polynomial is of the form x^2+bx+c and there are factors of c that add up to b.
Ex: x^2+7x+12 = (x+3) (x+4)

3) The grouping method. If the polynomial is in the form ax^2+bx+c and there are factors of ac that add up to b.
Ex: 2x^2+7x+3 = (x+3) (2x+1)

If you want more methods, go to Khan academy and search up review of factorization methods.

I hope this helps!

Related Questions

Is the shape below a rhombus, rectangle, or both? Explain.

Answers

Answer: both

Step-by-step explanation:

rhombuses can be squares but not all of them, this one is, and then a square is a rectangle

Answer: It doesn’t really look like a look like a rectangle or a rhombus. It’s more like a square because of the even number of degrees.

Step-by-step explanation:

how many times can 90 go into 518

Answers

Answer:

5.75

Step-by-step explanation:

hope this helps :)

What is the y-intercept of the equation: 3x + 6y = 42 *

Answers

Answer:

(0,7)

Step-by-step explanation:

what is the slope of the line that contains the points (8,5) and (-9,5)

Answers

Answer:

The slope is 0.

Step-by-step explanation:

The equation is y= 0x+5, So the slope is 0.

Answer:

It is a zero slope.

Step-by-step explanation:

A picture of the graphed points is provided. A horizontal slope is identified as a zero slope.

Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.

1. Use the distributive property:



2. Use the subtraction property of equality:

3. Division property of equality:


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

x =

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

The Answer is 1/4

Step-by-step explanation:

I took the test:)

PLEASE HELP ME!!!!!!!!!!!!!!!!!
Segment AC and segment DB are diagonals of parallelogram ABCD. Find each measure below.



AE=

EC=

DE=

EB=

Answers

Answer:

can i please have the picture or the measurements of the sides or angles

Step-by-step explanation:

ill answer in the comments

Josh has a piggy bank filled with coins. The number of dimes is three times the number of nickels. The number of nickels is five more than the number of pennies. There are the same amount of pennies and quarters. The total value of all of the coins is $7.85. Find the number of each type of coin Josh has.

Answers

Answer:

nickels 15 dimes 45 pennies and quarters 10

without solving the given systems explain if they are equivalent or not .Explain why or why not.

1)
[tex]x + 4y = 4 \\ 2x - 3y = - 3[/tex]
2)
[tex]3x + y = 1 \\ 4x + 16y = 4[/tex]
​

Answers

Answer:

1)

Step-by-step explanation:

30 PTS!! URGENT JUST 3 QUESTIONS PLEASE
1. Fred bags groceries at Wegmans. On average, he fills 21 bags for every three customers. Represent the total bags Fred filled based on the number of customers

2. What does the average rate of change represent?
A. For every seven customers, Fred fills 1 bag of groceries.
B. For every customer, Fred fills 7 bags of groceries.
C. undetermined
D. not enough information

3. What is Fred’s average rate of change?
A. 1/7
B. 1
C. 7
D. undetermined

Answers

Answer:

1. 7    

2. B

3. C

Step-by-step explanation:

hope its right

There were 26 balloon in the party room, 12 red and 14 blue. Half of the blue balloon
popped. How many balloons are left?

Answers

Answer:

There would be 19 ballons left

Step-by-step explanation:

Nov 18, 10:52:11 PM
A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that
are 6 feet in length. How many 12-inch pieces can the dressmaker cut from 10
of these rolls of ribbon?

Answers

The dressmaker can cut 60 12 inch pieces of ribbon

Which figure must have four right angles?

Answers

Answer:

Rectangle

Step-by-step explanation:

Plz Mark Brainliest Thanks

ANSWER:a square has two pairs of parallel sides 4 right angles and all four sides are equal it is also rectangle and parallelogram a rhombus is defined as a parallelogram with four equal sides...therefore it is SQUARE

a recipe uses 2 cups of milk per (1) serving. How many servings can be made by using 1 gallon of milk?

Answers

Answer:

8

Step-by-step explanation:

16 cups per gallon divided by 2 equalls 8

Answer:

8 servings

Step-by-step explanation:

1 serving uses 2 cups of milk, and there are 16 cups in a gallon.

you can use a 1:2 ratio to find that a gallon can make 8 servings.

What is the answer?❤️

Answers

Answer:

Y - Intercept     300

Slope                100x

Equation           y = 100x + 300

Danny

No Explanation Needed

The area of a rectangular patio is 14 5/ 8 square meters. The width of the patio is 3 1/4 meters. What is the length? Enter your answer as a mixed number in simplest form. The length of the patio is meters.

Answers

Answer:

4 1/2 m

Step-by-step explanation:

Area of the patio = 14 5/8 m²

Width = 3 1/4m

Length = ?

Area of the patio = length ×width

Substitute

14 5/8 = 3 1/4 × L

Convert to improper fractions

117/8 = 13/4 L

Cross multiply

8 ×13L = 117×4

2 ×13L= 117

2×L = 9

2L = 9

L = 9/2

L. = 4 1/2 m (in mixed fraction)

What is the mass of an object that has a density of 8 g/cm3 and a volume of 64 cm3

Answers

Answer:

Step-by-step explanation:

multiply 64 and 8

512

The required mass of an object is 512g.

Given that,
The density of 8 g/cm3 and a volume of 64 cm3,
The mass of the object is to be determined.

What is volume?

Volume is defined as the ratio of the mass of an object to its density.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Here,
Mass = density * volume
Mass = 8 * 64
Mass = 512 g

Thus, the required mass of the object has density of 8 g/cm3 and a volume of 64 cm3.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ5


Find the slope of the line that passes through (17,-13) and (17 , 8 )

Answers

Answer:

(17, -13) (17, 8) --> In this problem, we use the y2-y1 over x2 - x1 formula.

Step-by-step explanation:

Step 1: Plug In--> 8-(-13)

                            17 - 17

Step 2: Simplify: 21

                             0

Answer: Undefined. Vertical line on graph.

Answer: 21

Step-by-step explanation: The first thing you should have noticed is that x is the same for both coordinates; in other words, x=17, which means there's no change and x, and it will therefore be a straight vertical line. From there, you can find the change in y to determine the slope (because slope is rise over run). Since 8-(-13)=21, the slope is 21.

Tyler and his friends ate 2/3 of a cheese pizza and 1/2 of a mushroom pizza. How much pizza did they eat all together. (I NEED THE ANSWER )

Answers

Answer:

3/3 gotta make it longer

Answer: 1 and 1/6

Step-by-step explanation: Find the Least Common Multiple of 3 and 2, which is 6. 2/3= 4/6 and 1/2=3/6, 4/6 + 3/6 = 7/6 or 1 and 1/2

2+2 but make it longer and overdo it(have fun with it)

Answers

4





explanation: 10+10=20; 20-11=9; 9x2=18; 18 divided by 3=6; 6 divided by 2=3; 3+1=4

I will mark brainest if you get it right.
1. x + 20 = 5x +4
x=

Answers

Answer:

x=4

Step-by-step explanation:

Subtract 5x from both sides: -4x+20=4

Subtract 20 from both sides: -4x=-16

Divide -4 from both sides: x=4

Answer:

x = 4

Step-by-step explanation:

I will explain if you ask.

Does the point (2, 3) lie on the graph of y =3x-4? explain.

Answers

The y intercept is (0,-4) and we know the slope is 3. So yes (2,3) is a point on the line y=3x-4

Delta Company produces a single product. The cost of producing and selling a single unit of this product at the company's normal activity level of 88,800 units per year is: Direct materials $ 1.50 Direct labor $ 3.00 Variable manufacturing overhead $ 0.50 Fixed manufacturing overhead $ 4.45 Variable selling and administrative expenses $ 1.30 Fixed selling and administrative expenses $ 2.00 The normal selling price is $21.00 per unit. The company's capacity is 112,800 units per year. An order has been received from a mail-order house for 2,000 units at a special price of $18.00 per unit. This order would not affect regular sales or the company's total fixed costs

Answers

Answer:

The company should accept the special offer because it increases income by $23,400.

Step-by-step explanation:

Giving the following information:

Variable costs:

Direct materials $1.50

Direct labor $3.00

Variable manufacturing overhead $0.50

Variable selling and administrative expenses $1.30

Total variable cost= $6.3

An order has been received from a mail-order house for 2,000 units at a special price of $18.00 per unit.

Because it is a special offer and there is unused capacity, we will not take into account the fixed costs:

Effect on income= number of units*unitary contribution margin

Effect on income= 2,000* (18 - 6.3)

Effect on income= $23,400 increase

The company should accept the special offer because it increases income by $23,400.

What is the formula for pie

Answers

Answer:

3.14

Step-by-step explanation:

i need help with this please

Answers

Answer:

5 and 7/12

Step-by-step explanation:

2 1/4=3/12

+3 1/3=4/12

5 7/12

Answer:

5 and 7/12

Step-by-step explanation:

2 1/4=3/12

+3 1/3=4/12

5 7/12

Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!

Answers

(6x-5) + (6x+5) = 180

12x = 180

x = 15°

En 1987 se construyeron 24 933 escuelas primarias en Japón y 75 184 en México ¿Cuántas escuelas más se construyeron en México?

Answers

24 933 schools .....

Write the equation of the line perpendicular to y=3/4x+1/2 that passes through the point (-7,5)

help asap thank you!

Answers

y=13.3x+10.5 i think

A veterinary technician earn $14 per hour. He is paid double for any hours over 40 hours per week. If he works 52 hours in a week, what is his gross pay

Answers

Answer:

896

Step-by-step explanation:

Evaluate if k = 39 and j = -10

Answers

3

replace k with 39 and j with -10

39/3 - 10 = 3

The HA theorem is a special case of the

Answers

Answer:

Option B.

Step-by-step explanation:

Two triangles can be congruent either by SSS or AAS or ASA or SAS postulates.

AAS is the case where two angles and one corresponding side of a triangle are equal.

For two right angled triangles, we already have one angle congruent as right angle. If another angle is congruent and hypotenuse equal, then the two triangles are congruent.

This directly follows from AAS theorem or AAS postulate

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