Quiz about Introduction to Factoring unit 7 days1-5

Question 1

Classify by the number of terms:
4r⁶ - 3r² - 8r⁴

Accepted Answer

Trinomial

Answer

Monomial

Answer

Binomial

Answer

Polynomial

Question 2

Classify this polynomial by its degree and number of terms: x² + 2x + 6

Accepted Answer

Quadratic trinomial

Answer

Linear polynomial

Answer

Quadratic binomial

Answer

Cubic trinomial

Question 3

What are like terms?
Terms that have....

Accepted Answer

the same variables and exponents

Answer

the same variables

Answer

the same exponents

Answer

the same coefficients

Question 4

An expression of the fifth degree is written with a leading coefficient of seven and a constant of six. Which expression is correctly written for these conditions?

Accepted Answer

7x⁵+2x²+6

Answer

6x⁵+x⁴+7

Answer

7x⁶-6x⁴+5

Answer

6x⁷-x⁵+5

Question 5

Which polynomial is written in standard form?

Accepted Answer

9x³ + 8x²- 3x - 11

Answer

-3x + 8x² + 9x³ - 11

Answer

8x²+ 9x³ -11 - 3x

Answer

-11 - 3x + 8x² + 9x³

Question 6

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

Accepted Answer

-7

Answer

2

Answer

-8

Answer

3

Question 7

Simplify this polynomial:

n - 10 + 9n - 3

Accepted Answer

10n - 13

Answer

-3

Answer

9n - 3

Answer

n

Question 8

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

Accepted Answer

-2x²+ 7x - 3

Answer

8x²+ 9x + 7

Answer

2x²+ 7x - 3

Answer

5x2 - 3

Question 9

Factor:
18a²-15a

Accepted Answer

3a(6a-5)

Answer

15a(3a-1)

Answer

3a(6a-1)

Answer

3(6a-5)

Question 10

Factor Completely: x²-17x+72

Accepted Answer

(x-9)(x-8)

Answer

(x-9)(x+8)

Answer

x(x-3)

Answer

(x+9)(x+8)

Question 11

Factor
n² + 16n + 63

Accepted Answer

(n+7)(n+9)

Answer

(n-7)(n+4)

Answer

(n+7)(n-9)

Answer

(n-3)(n-10)

Question 12

Factor:
v² + 3v - 88

Accepted Answer

(v + 11)(v - 8)

Answer

(v + 22)(v - 4)

Answer

(v + 8)(v - 11)

Answer

(v - 22)(v + 4)

Question 13

x2 - 25

Accepted Answer

( x + 5 ) ( x - 5 )

Answer

( x - 5 ) ( x - 5 )

Answer

( x + 5 ) ( x + 5 )

Answer

Prime

Question 14

Find the factors of

x² + x - 6

Accepted Answer

(x + 3)(x - 2)

Answer

(x - 6)(x - 9)

Answer

(x + 3)(x + 2)

Answer

(x + 2)(x + 4)

Question 15

Find the factors of

x² - 5x - 36

Accepted Answer

(x + 4)(x - 9)

Answer

(x - 4)(x + 9)

Answer

(x - 9)(x + 6)

Answer

(x + 4)(x + 9)

Question 16

What is the first step in factoring this problem?

x² - 5x - 36

Accepted Answer

List the factors of -36

Answer

Multiply

Answer

Add the factors of -36

Answer

Factor out the GCF

Question 17

Find the factors of

x² - 5x - 36

Accepted Answer

(x + 4)(x - 9)

Answer

(x - 4)(x + 9)

Answer

(x - 9)(x + 6)

Answer

(x + 4)(x + 9)

Question 18

Find the factors of

2b² + 14b - 16

Accepted Answer

2(b - 1)(b + 8)

Answer

6(b - 1)(b - 5)

Answer

2(b + 1)(b - 8)

Answer

2(b - 1)(b - 8)

Question 19

Factor by using GCF:

8n³ + 2n²

Accepted Answer

2n²(4n + 1)

Answer

2n2(4n-1)

Answer

n2(8n+2)

Answer

3n(4n+1)

Question 20

Factor:
2n²-8n³

Accepted Answer

2n2(1-4n)

Answer

2n²(n-4n²)

Answer

2n³(10-8n²)

Answer

3n(1-4n)

Question 21

Factor by GCF:

6m² + 16m

Accepted Answer

2m(3m + 8)

Answer

2(3m² + 8m)

Answer

2m(3m - 8m)

Answer

Prime

Question 22

Factor: $$5x^2-25x$$

Accepted Answer

$$5x\left(x-5\right)$$

Answer

$$-20x$$

Answer

$$5\left(x^2-5x\right)$$

Answer

$$x\left(5x-25\right)$$

Question 23

Factor 7x + 21 using the GCF.

Accepted Answer

7(x+3)

Answer

7x + 3

Answer

3(x + 7)

Answer

x(7 + 3)

Question 24

Factor 12x - 40 using the GCF.

Accepted Answer

4 (3x - 10)

Answer

2 (6x -20)

Answer

4 (3x + 10)

Answer

2 (6x + 20)

Question 25

Factor using the GCF.

x² - 5x

Accepted Answer

x(x - 5)

Answer

1(x - 5)

Answer

x(x - 5x)

Answer

x2(1 - 5)

Question 26

8r³ + 16r²

^{What is the factored form?}

Accepted Answer

8r²(r + 2)

Answer

4r²(2r + 4)

Answer

8(r³ + r²)

Answer

4(r³ + 2r²)

Question 27

Factor by using GCF:

8n³ + 2n²

Accepted Answer

2n²(4n + 1)

Answer

2n2(4n-1)

Answer

n2(8n+2)

Answer

3n(4n+1)

Question 28

Which is another way of correctly expressing
(x - 3)(x - 3)?

Accepted Answer

(x - 3)2

Answer

(x² - 3²)

Answer

(x2 - 3)

Answer

(x + 3)(x - 3)

Question 29

Factor:
x²+ 7x - 30

Accepted Answer

(x + 10)(x - 3)

Answer

(x + 10)(x - 7)

Answer

(x - 10)(x + 3)

Answer

(x + 10)(x + 3)

Question 30

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

Accepted Answer

3(x + 5)(x + 1)

Answer

3(x² + 6x + 5)

Answer

(x + 5)(x + 1)

Answer

Prime

Question 31

A rectangle has an area of 4x²+19x + 12 and a length of (x + 4). What is the width?

Accepted Answer

4x + 3

Answer

4x - 3

Answer

2x + 6

Answer

2x + 3

Question 32

Question 32.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 33

What is the GCF of 28ab and 42b?

Accepted Answer

14b

Answer

4b

Answer

6b

Answer

7b

Question 34

What are the factors of
25x² - 81?

Accepted Answer

(5x - 9)(5x + 9)

Answer

(5x - 9)(5x - 9)

Answer

(5x + 9)(5x + 9)

Answer

Cannot be factored

Question 35

Factor completely.
k² -2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 36

Factor Completely.
8x³ - 18x

Accepted Answer

2x(2x+3)(2x-3)

Answer

2x(4x2-9)

Answer

(4x²+3)(2x-3)

Answer

PRIME

Question 37

Factor x²-2x-15

Accepted Answer

(x-5)(x+3)

Answer

(x+5)(x-3)

Answer

(x-5)(x-3)

Answer

(x+5)(x+3)

Question 38

x2 - 25

Accepted Answer

( x + 5 ) ( x - 5 )

Answer

( x - 5 ) ( x - 5 )

Answer

( x + 5 ) ( x + 5 )

Answer

Prime

Question 39

x2 - 225

Accepted Answer

( x - 15) ( x + 15)

Answer

( x + 15) ( x + 15)

Answer

Prime

Answer

( x - 15) ( x - 15)

Question 40

x2 + 81

Accepted Answer

Prime

Answer

( x - 9 ) ( x + 9 )

Answer

( x + 9 ) ( x + 9 )

Answer

( x - 9 ) ( x - 9 )

Question 41

4x²- 64y²

Accepted Answer

( 2x - 8y) (2 x + 8y)

Answer

Prime

Answer

( 2x - 32y) (2 x + 32y)

Answer

( 2x - 8y) (2 x - 8y)

Question 42

What two numbers add to give you -21 and multiply to give you -100?

Accepted Answer

-25 and 4

Answer

25 and -4

Answer

10 and -10

Answer

-20 and -1

Question 43

two perfect squares separated by a subtraction sign

Accepted Answer

difference of two squares

Answer

quadratic equation

Answer

standard form of a polynomial

Answer

Zero Product Property

Question 44

an equation of the form $$ax^2+bx+c=0$$

Accepted Answer

quadratic equation

Answer

prime polynomial

Answer

trinomial

Answer

Zero Product Property

Question 45

Multiply

(2x - 1)(x + 2)

Accepted Answer

2x² + 3x - 2

Answer

2x² - 5x - 2

Answer

2x² + 3x + 2

Answer

2x² - 5x + 2

Question 46

(x - 1)(x - 8)

Accepted Answer

x² - 9x + 8

Answer

x² + 9x + 8

Answer

x²+ 9x - 8

Answer

x² - 9x - 8

Question 47

Which of the following are examples of like terms?

Accepted Answer

-3x and 3x

Answer

2 and 2x

Answer

y3 and x3

Answer

y and x

Question 48

x2 + 81

Accepted Answer

Prime

Answer

( x - 9 ) ( x + 9 )

Answer

( x + 9 ) ( x + 9 )

Answer

( x - 9 ) ( x - 9 )

Question 49

Factor:
x²- 400

Accepted Answer

( x - 20) ( x + 20)

Answer

( x - 200) ( x + 200)

Answer

( x + 20) ( x + 20)

Answer

Prime

Introduction to Factoring unit 7 days1-5

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