Quiz about Factoring Review

Question 1

Factor Out GCF

40y⁴-24xy²-56y²

Accepted Answer

8y²(5y²-3x-7)

Answer

2y²x(20y²-12x-8)

Answer

4(10y⁴-6xy²-14y²)

Answer

8(5y⁴-3xy²-7y²)

Question 2

Factor Out GCF

56 - 35p

Accepted Answer

7(8-5p)

Answer

7p(8-5)

Answer

p(56-35)

Question 3

Factor Out GCF

14x²y²z + 21xy²z²

Accepted Answer

7xy²z(2x+3z)

Answer

xy²z(14x+21z)

Answer

7(x²y²z+xy²z²)

Question 4

Factor Out GCF

12w³t² - 9wt² + 15w²t³

Accepted Answer

3wt²(4w²-3 + 5wt)

Answer

3(w³t²-3wt²+5w²t³)

Answer

wt²(12w²-9 + 15wt)

Question 5

Factor each with Leading Coefficient a=1

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 6

Factor each with Leading Coefficient a=1

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 7

Factor each with Leading Coefficient a=1

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 8

Factor out a GCF, then Factor again (With Leading Coefficient a=1)

4x² + 8x - 60

Accepted Answer

4(x-3) (x+5)

Answer

(4x-12) (x+5)

Answer

(4x+20) (x-3)

Answer

PRIME

Question 9

Factor out a GCF, then Factor again (With Leading Coefficient a=1)

2x³ - 20x² - 48x

Accepted Answer

2x(x+2) (x-12)

Answer

2x(x²-10x-24)

Answer

(2x²+2) (x-12)

Answer

PRIME

Question 10

Factor by grouping

x³ - 4x² -4x + 16

Accepted Answer

(x-4)(x² -4)

Answer

(x+4)(x+2)

Answer

(x+4)(x² -4)

Answer

(x-4)(x-2)

Question 11

Factor with leading coefficient a <1

a² - a - 12

Accepted Answer

(a - 4)(a + 3)

Answer

(a + 6)(a - 4)

Answer

(a - 6)(a + 4)

Answer

(a + 4)(a - 3)

Question 12

Factor with leading coefficient with a <1

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 13

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 14

x2 - 144

Accepted Answer

(x+12)(x-12)

Answer

(x+10)(x-10)

Answer

(x+11)(x-11)

Answer

(x+7)(x-7)

Question 15

49n2 - 25

Accepted Answer

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

Answer

Not Factorable

Answer

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

Answer

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

Question 16

Fully Factor the Following
16x²+25

Accepted Answer

Prime

Answer

(4x-5)(4x+5)

Answer

(4x+5)(4x-5)

Answer

(4x+5)2

Question 17

Factor perfect square trinomials

x² + 24x + 144

Accepted Answer

(x + 12)(x+12)

Answer

(x + 9)(x+9)

Answer

(x + 15)(x+15)

Answer

(x + 13)(x+13)

Question 18

Factor by Diamond and then Solve (set equal to 0 )

a² + 2a - 24 = 0

Accepted Answer

a = -6, 4

Answer

a = 6, -4

Answer

a = 12, -2

Answer

a = 8, -3

Question 19

Factor by diamond, then solve (Set equal to 0 )

x² - 9x + 20 = 0

Accepted Answer

x = 4 and x = 5

Answer

x = -4 and x = -5

Answer

x = 20 and x = -9

Answer

x = -4 and x = 5

Question 20

Factor ou t the GCF then Solve (set equal to zero)

x^2+14x=0

Accepted Answer

x=0 and x=-14

Answer

x=1 and x=14

Answer

x=0 and x=14

Question 21

Factor using butterfly then solve

3v² - 4v - 7

Accepted Answer

x=7/3 and x=-1

Answer

x=3/7 and x=1

Answer

x=0 and x=3/7

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