Quiz about Factoring: GCF/Difference of Squares/x^2+bx+c

Question 1

What is ALWAYS the first step when factoring?

Accepted Answer

Look for the GCF

Answer

Write a, b, and c

Answer

Difference of squares

Answer

Group

Question 2

Factor 4x²-9

Accepted Answer

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

Answer

(4x-9)(4x+9)

Answer

2x-3

Answer

(2x-4.5)(2x+4.5)

Question 3

Fully Factor the Following
25x²-81

Accepted Answer

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

Answer

(5x-9)2

Answer

25(x-9)2

Answer

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

Question 4

9x²- 49y⁶

Accepted Answer

( 3x - 7y³) (3x + 7y³)

Answer

( 3x + 7y³) (3x + 7y³)

Answer

( 3x - 7y³) (3x - 7y³)

Answer

Prime

Question 5

3x2 - 75

Accepted Answer

3( x + 5 ) ( x - 5 )

Answer

Prime

Answer

( x + 5 ) ( x - 5 )

Answer

3( x - 5 ) ( x - 5 )

Question 6

r⁴ - q⁴

Accepted Answer

(r² + q²) (r² - q²)

Answer

(r² - q²) (r² - q²)

Answer

(r + q) (r - q)

Answer

Can't factor using Diff. of Squares

Question 7

9n2 + 1

Accepted Answer

Prime

Answer

(3n + 1) (3n - 1)

Answer

(3n - 1) (3n - 1)

Answer

(n + 3) (n - 3)

Question 8

49n2 - 25

Accepted Answer

(7n + 5)(7n - 5)

Answer

Prime

Answer

(3n + 5)(3n - 5)

Answer

(5n + 7)(5n - 7)

Question 9

If the area of your garden is ( d^{2 _} 16 ) and the length is

( d + 4) , what is the width?

Accepted Answer

(d - 4)

Answer

( d+ 2)

Answer

( d - 2)

Answer

( d + 4)

Question 10

Factor
k²+7x+10

Accepted Answer

(k+2)(k+5)

Answer

(k-2)(k-5)

Answer

(k+10)(k+4)

Answer

(k+2)(k-5)

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
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 13

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 14

Factor
x²+ 9x - 36

Accepted Answer

(x + 12)(x - 3)

Answer

(x + 9)(x - 4)

Answer

(x - 12)(x + 3)

Answer

(x - 9)(x - 4)

Question 15

Factor
d² - 10d + 25

Accepted Answer

(d - 5) (d - 5)

Answer

(d + 5) (d - 5)

Answer

(d - 15) (d + 10)

Answer

(d + 5) (d - 20)

Question 16

Factor
x² + 4x + 3

Accepted Answer

(x + 1)(x + 3)

Answer

(x - 1)(x - 3)

Answer

(x - 1)(x + 3)

Answer

(x + 1)(x - 3)

Question 17

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 18

Factor
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 19

Factor:
x² - 6x + 9

Accepted Answer

(x - 3) (x - 3)

Answer

(x - 3)(x + 3)

Answer

(x + 3) (x + 3)

Answer

Prime polynomial

Question 20

Factor
x² + 5x + 4

Accepted Answer

(x + 4)(x + 1)

Answer

(x + 2)(x + 2)

Answer

(x + 4)(x - 1)

Answer

(x + 5)(x + 1)

Question 21

Factor
18a²b⁴c + 24ab³c²

Accepted Answer

6ab³c(3ab + 4c)

Answer

3abc(6ab³+ 8b²c)

Answer

6abc(3ab³ + 4c)

Answer

6ab3c(3b + 4c)

Question 22

What is the greatest common factor of the two terms in the expression x⁵y²+x²y⁷z

Accepted Answer

x2y2

Answer

x2

Answer

x2y2z

Answer

x5y7z

Question 23

Factor
5ab²c¹¹ + 2bc⁵

Accepted Answer

bc⁵(5abc⁶ + 2)

Answer

bc⁵(5ab²c⁶ + 2b)

Answer

b²c⁵(5bc⁶ + 2)

Answer

c4(5a²b²c⁷+ 2bc)

Question 24

Factor
-10xy⁹z + 8y³z⁵

Accepted Answer

2y³z(-5xy⁶ +4z⁴)

Answer

2y⁴z(-20xy⁶ + 4z⁴)

Answer

2y³z(-5xy⁶z + 4z⁵)

Answer

2y³z(-5xy⁶z + 8z⁴)

Question 25

Factor
20p²q² - 25pm

Accepted Answer

5p(4pq² - 5m)

Answer

pm(4q - 5m)

Answer

5(4pq³ - 5m)

Answer

pq(20pq² - 25m)

Question 26

Factor
49m³q² - 35mq² - 42m³q⁴p²

Accepted Answer

7mq²(7m² - 5 - 6m²p²q²)

Answer

7mq²(7m²q - 5 - 6m²p²q²)

Answer

7mq²(7m³q - 5mq - 6m²p²q³)

Answer

7mq²(7mq - 5 - 6m²pq²)

Question 27

Factor
-64a⁴b - 96ab³ + 8a

Accepted Answer

8a(-8a³b - 12b³ + 1)

Answer

8a(-8a³b - 12b³ + a)

Answer

8ab(-8a³ + 12b² + 1)

Answer

8a(8a³b - 12b² + 1)

Question 28

Factor
-84x⁴ + 72xy² + 12xy

Accepted Answer

12x(-7x³ + 6y² + y)

Answer

6x(-7x³ + 2y² + 1)

Answer

4x(-7x³ + 6y² +y)

Answer

12x(-7x² + 6y² + 1)

Factoring: GCF/Difference of Squares/x^2+bx+c

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