Quiz about Algebra 2 Factoring

Question 1

Factor completely with respect to integers.

$$6x^2\ -\ 7x\ -\ 20$$

Accepted Answer

$$\left(2x-5\right)\left(3x+4\right)$$

Answer

$$\left(3x-5\right)\left(2x+4\right)$$

Answer

Prime

Question 2

Factor completely.

$$15x^2+4x-3$$

Accepted Answer

$$\left(5x+3\right)\left(3x-1\right)$$

Answer

$$\left(5x-1\right)\left(3x+1\right)$$

Answer

$$\left(x+3\right)\left(x-1\right)$$

Question 3

6m2 + 16m

Accepted Answer

2m(3m + 8)

Answer

2(3m² + 8m)

Answer

2m(3m - 8m)

Answer

not factorable

Question 4

Factor:
x²-15x + 36

Accepted Answer

(x - 12)(x - 3)

Answer

(x - 18)(x + 2)

Answer

(x - 12)(x + 3)

Answer

(x + 18)(x - 2)

Question 5

Factor Completely: 5x²- 11x + 6

Accepted Answer

(5x - 6)(x - 1)

Answer

(5x + 6)(x - 1)

Answer

(2x - 7)(x - 3)

Answer

(5x - 6)(x + 1)

Question 6

Complete the formula (use your notes!)
$$a^2-b^2=$$

Accepted Answer

$$\left(a+b\right)\left(a-b\right)$$

Answer

$$\left(a+b\right)^2$$

Answer

$$\left(a-b\right)^2$$

Answer

prime

Question 7

16n2 - 25

Accepted Answer

(4n + 5)(4n - 5)

Answer

(16n - 25)(16n + 25)

Answer

(8n - 5)(8n + 5)

Answer

Not Factorable

Question 8

100m²n² - 81p²

Accepted Answer

(10mn - 9p)(10mn + 9p)

Answer

Not Factorable

Answer

(10mn² - 9p)(10mn² + 9p)

Answer

(25mn - 8p)(25 + 8p)

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:
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 11

Factor completely.
3x²- 9x -120

Accepted Answer

3(x - 8)(x + 5)

Answer

3(x + 8)(x - 5)

Answer

(3x + 8)(x - 5)

Answer

(3x - 8)(x + 5)

Question 12

Factor Completely:
4x² - 64

Accepted Answer

4(x - 4)(x + 4)

Answer

4(x² + 16)

Answer

4(x2 + 64)

Answer

Prime

Question 13

x2 + 81

Accepted Answer

Prime

Answer

( x - 9 ) ( x + 9 )

Answer

( x + 9 ) ( x + 9 )

Answer

( x - 9 ) ( x - 9 )

Question 14

Fully Factor the Following
4x²-16

Accepted Answer

4(x-2)(x+2)

Answer

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

Answer

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

Answer

4(x-2)2

Question 15

Factor completely:

$$x^2 - 4x - 12$$

Accepted Answer

(x - 6)(x + 2)

Answer

(x + 6)(x - 2)

Answer

(x - 4)(x + 3)

Answer

(x + 4)(x - 3)

Question 16

Complete the formula:

$$(a+b)^2=$$

Accepted Answer

$$a^2 + 2ab + b^2$$

Answer

$$a^2 - 2ab + b^2$$

Answer

$$a^2 + b^2$$

Answer

$$a^2 - b^2$$

Question 17

Factor completely:

$$9x^2 - 25$$

Accepted Answer

(3x - 5)(3x + 5)

Answer

(9x - 5)(x + 5)

Answer

(3x - 5)(x + 5)

Answer

Not Factorable

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