Free Printable Factoring quadratics when a = 1

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Factoring quadratics when a = 1

Total questions: 50

Worksheet time: 4hrs 10mins

Name

Class

Date

Factor
r² -16r + 60

(r - 15)(r + 4)

(r - 6)(r + 10)

(r - 6)(r - 10)

(r +30)(r - 2)

Factor
x²-16x + 48

(x - 12)(x - 4)

(x + 6)(x - 8)

(x + 12)(x - 4)

(x -16)(x - 3)

Factor
x²+12x+35

(x+5)(x+7)

(x+4)(x+3)

(x+7)(x-5)

Prime

Factor
d² - 10d + 25

(d + 5) (d - 5)

(d - 15) (d + 10)

(d + 5) (d - 20)

(d - 5) (d - 5)

Factor
x² + 5x + 4

(x + 4)(x + 1)

(x + 2)(x + 2)

(x + 4)(x - 1)

(x + 5)(x + 1)

Factor
x² + 11x + 24

(x + 6)(x + 4)

(x + 10)(x + 2)

(x + 8)(x + 3)

(x + 2)(x + 12)

Factor
x² - 9x + 20

(x - 10)(x - 2)

(x - 20)(x - 1)

(x - 10)(x + 2)

(x - 5)(x - 4)

Factor
x²+ 3x + 2

(x + 2)(x + 1)

(x + 3)(x - 1)

(x + 3)(x + 1)

(x - 3)(x + 1)

Fully Factor the Following
25x²-81

(5x-9)²

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

25(x-9)²

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

10.

Fully Factor the Following
4x²-16

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

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

4(x-2)²

4(x-2)(x+2)

11.

What is the greatest common factor of 48x²and 32x³?

8x²

16x²

16x

96x³

12.

What is the greatest common factor of 42xy² and 28x³y?

84x³y²

14y

14xy

14xy²

13.

Find the product.
(x + 7)²

x²+ 7x + 7x + 49

x²+ 7x + 7

7x²+ x + 7

x² + 14x + 49

14.

Factor
3a² + 4a + 1

(7a-10)(a-8)

Not factorable

(3a+1)(a+1)

(3a-1)(a-1)

15.

Factor
3v² - 4v - 7

(3v-7)(v+1)

3(v-7)(v-1)

(3v+1)(v-9)

(3v+1)(v-10)

16.

Factor out the GCF:
12x + 6

6(2x + 1)

3(4x + 2)

6x(2x + 1)

2(6x + 3)

17.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

Plug in zero for x

Solve for x

FOIL

Set each binomial factor equal to zero

18.

Solve for the values of x:
(x - 3)(x + 6) = 0

{ -3, -6 }

{ 3, -6 }

{ -3, -6 }

{ 3, 6 }

19.

Solve
x² + 2x - 24 = 0

x = -6, x = 4

x = 6, x = -4

x = 12, x = -2

x = 8, x = -3

20.

Solve
x² + 9x + 20 = 0

x = -2, x = -10

x = -3, x = -4

x = -4, x = -5

x = -4, x = -6

21.

Solve
x² + 7x + 12 = 0

x = -2, x = -10

x = -3, x = -4

x = -4, x = -5

x = -4, x = -6

22.

Solve
2x² - 3x - 2 = 0

x = 1, x = -1

x = -1/2, x = 2

x = 1/2, x = 2

x = 1/2, x = 1

23.

Solve
3x² + 5x - 12 = 0

x = -4/3, x = 3

x = 4/3, x = -3

x = -1, x = 4

x = 1, x = -4

24.

Solve by factoring: 2x²+ 7x + 6 = 0

x= 3/2 and x = 2

x = -3/2 and x = -2

x = 6 and x = 7

x = -6 and x = -7

25.

Solve by factoring:3x² + 5x + 2 = 0

x = -2/3 and x = -1

x = -3/2 and x = -1

x = 2/3 and x = 1

x = 2/3 and x = -1

26.

Solve by factoring: x² + 3x - 18 = 0

x = -3 and x = 6

x = 3 and x = -6

x = -9 and x = 2

x = 9 and x = -2

27.

7x² - 26x - 8 = 0

x = -1 and x = -7/8

x = 4 and x = -2/7

x = -4 and x = 2/7

x = 4 and x = -7/2

28.

Solve using Zero-Product Property.
(x+4)(x-3) = 0

x = 4 and x = -3

x = 2 and x = 1

x = -4 and x = 3

x = -2 and x = 1

29.

What two number factors multiply to 10 and add up to 11

1, 10

2, 5

-10, -1

7, 3

30.

x² + 15x + 44 = 0

{-8, 2}

{-7, 5}

{-11, -4}

{-11}

31.

Factor:

x² − 15x + 50

(x − 10)(x − 15)

(x − 10)(x − 5)

(x − 25)²

(x − 5)(x − 5)

32.

Factor:

x²+ 9x − 36

(x + 12)(x − 3)

(x + 9)(x − 4)

(x − 12)(x + 3)

(x − 9)(x − 4)

33.

Factor:

n² + 16n + 63

(n − 7)(n + 4)

(n + 7)(n − 9)

(n − 3)(n − 10)

(n + 7)(n + 9)

34.

Factor:

k² − 2k − 24

(k + 4)(k − 6)

(k + 4)(k + 6)

(k + 6)(k − 1)

(k − 4)(k + 6)

35.

Factor:

n²− 13n + 40

(n − 5)(n − 8)

(n + 5)(n − 8)

(n − 5)(n + 8)

(n + 6)(n + 1)

36.

Factor:

d² − 10d + 25

(d + 5) (d − 5)

(d − 15) (d + 10)

(d + 5) (d − 20)

(d − 5) (d − 5)

37.

Factor:

x²+ 12x + 35

(x + 5)(x + 7)

(x + 4)(x + 3)

(x + 7)(x − 5)

(x − 4)(x − 3)

38.

Factor:

r² − 16r + 60

(r − 15)(r + 4)

(r − 6)(r + 10)

(r − 6)(r − 10)

(r +30)(r − 2)

39.

Factor:

x² + 5x + 4

(x + 4)(x + 1)

(x + 2)(x + 2)

(x + 4)(x − 1)

(x + 5)(x + 1)

40.

Factor:

x² − 8x + 15

(x + 5) (x + 3)

(x − 5) (x − 3)

(x + 15) (x − 1)

(x − 7) (x − 8)

41.

Factor:

x² – 5x – 24

(x − 5)(x + 19)

(x − 8)(x + 3)

(x − 3)(x + 8)

(x − 19)(x + 5)

42.

Factor:

6x² + 5x − 6

6(x + 1)(x − 6)

(6x + 6)(x − 1)

(2x − 3)(3x + 2)

(3x − 2)(2x + 3)

43.

Factor:

2m² + 3m − 9

2(m + 3)(m − 3)

(2m − 3)²

(m + 3)(2m − 3)

(2m + 3)(m − 3)

44.

Factor:

3a² + 4a + 1

(7a − 10)(a − 8)

Not factorable

(3a + 1)(a + 1)

(3a − 1)(a − 1)

45.

Factor:

2n² + 13n + 15

(5n − 9)(n − 3)

(3n + 7)(n + 4)

(2n + 3)(n + 5)

Not factorable

46.

Factor:

5x² − 13x + 6

(x − 3)(5x − 2)

(5x − 3)(x − 2)

5(x − 3)(x + 2)

Not factorable

47.

What is the greatest common factor of 48x²and 32x³?

8x²

16x²

16x

96x³

48.

Factor
12x + 9

3(4x + 3)

x(12+9)

3(4x - 3)

not factorable

49.

Factor
n²-13n+40

(n-5)(n-8)

(n+5)(n-8)

(n-5)(n+8)

(n+6)(n+1)

50.

factor completely
v² - 6v + 9

(v-3)²

(v-6)²

(v-9)(v+6)

not factorable

Reset

Factoring quadratics when a = 1

Total questions: 50

Worksheet time: 4hrs 10mins

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