Quiz about Factoring Applications and Review

Question 1

Factor
10x² + 15x-5

Accepted Answer

5(2x²+3x-1)

Answer

25(10x³+45x-15)

Answer

5(2x³ + 3x²-x)

Answer

x(10x³+15x-5)

Question 2

Factor
4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

Question 3

Factor
k²+7k+10

Accepted Answer

(k+2)(k+5)

Answer

(k-2)(k-5)

Answer

(k+10)(k+4)

Answer

(k+2)(k-5)

Question 4

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 5

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 6

Factor
n²-13n+40

Accepted Answer

(n-5)(n-8)

Answer

(n+5)(n-8)

Answer

(n-5)(n+8)

Answer

(n+6)(n+1)

Question 7

Factor
3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 8

Factor
2x² - 13x - 70

Accepted Answer

(2x+7)(x-10)

Answer

(2x-7)(x+10)

Answer

(7x+5)(x+2)

Answer

2(x+7)(x+10)

Question 9

Factor
5x²-28x+32

Accepted Answer

(5x-8)(x-4)

Answer

(3x-10)(x+6)

Answer

(x-8)(5x-4)

Answer

(5x-8)(x+7)

Question 10

Factor
4n²-17n-15

Accepted Answer

(n-5)(4n+3)

Answer

(n-10)(6n+1)

Answer

(4n-5)(n-3)

Answer

(n-5)(4n-3)

Question 11

Factor
9x²-6x-8

Accepted Answer

(3x+2)(3x-4)

Answer

(3x+2)(3x+4)

Answer

(3x-2)(3x-4)

Answer

(x-1)(9x+8)

Question 12

Factor
4x²-25x+25

Accepted Answer

(x-5)(4x-5)

Answer

4(x-5)(x+5)

Answer

(x+5)(4x+5)

Answer

(x+2)(9x+1)

Question 13

Factor
4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

Question 14

12x + 9

Accepted Answer

3(4x + 3)

Answer

x(12+9)

Answer

3(4x - 3)

Answer

not factorable

Question 15

6m2 + 16m

Accepted Answer

2m(3m + 8)

Answer

2(3m² + 8m)

Answer

2m(3m - 8m)

Answer

not factorable

Question 16

What is the first step when factoring polynomials?

Accepted Answer

Find the GCF

Answer

List all the terms

Answer

Make a triangle

Answer

Write the answer

Question 17

Which binomials are a difference (subtraction) of two squares?
I. 6a²-25
II. 4x²+16
III. b²-9
IV. 49y²-64

Accepted Answer

III and IV

Answer

I only

Answer

III only

Answer

II, III, and IV

Question 18

factor completely
81m² - 1

Accepted Answer

(9m-1)(9m+1)

Answer

not factorable

Answer

(m-9)(m+9)

Answer

9m(9m-1)

Question 19

Factor by grouping:
3x³-x²+6x-2

Accepted Answer

(x²+2)(3x-1)

Answer

(x²+2)(3x+1)

Answer

(3x³+6x)(x²-2)

Answer

none of the aboe

Question 20

Factor:
x² - x - 42

Accepted Answer

(x + 6)(x - 7)

Answer

(x + 7)(x - 6)

Answer

Prime

Answer

(x + 1)(x - 42)

Question 21

Factor Completely:
x² - 36

Accepted Answer

(x + 6)(x - 6)

Answer

(x + 9)(x - 4)

Answer

(x - 6)(x - 6)

Answer

(x - 9)(x + 4)

Question 22

Factor Completely:
2x² - 2x - 6

Accepted Answer

2(x² - x - 3)

Answer

2(x + 3)(x - 1)

Answer

2(x + 2)(x - 3)

Answer

2(x² - 2x - 6)

Question 23

Factor:
p² - 14p

Accepted Answer

p(p - 14)

Answer

p(1 - 14)

Answer

2p(p - 7)

Answer

p2(1-14)

Question 24

What is the GCF of the trinomial?
3x²- 9x -120

Accepted Answer

3

Answer

2

Answer

6

Answer

9

Question 25

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 26

Factor:
x² - 49

Accepted Answer

(x + 7)(x - 7)

Answer

(x + 7)2

Answer

(x - 7)2

Answer

(x+7)(x-1)

Question 27

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

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