Quiz about Factoring Completely

Question 1

4x² + 8x - 60

Accepted Answer

4(x-3) (x+5)

Answer

(4x-12) (x+5)

Answer

(4x+20) (x-3)

Answer

PRIME

Question 2

8x3 - 18x

Accepted Answer

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

Answer

2x(4x2-9)

Answer

(4x²+3) (2x-3)

Answer

PRIME

Question 3

15m² -10m - 25

Accepted Answer

5(m+1) (3m-5)

Answer

(3m-5) (5m+5)

Answer

5(3m²-2m-5)

Answer

PRIME

Question 4

Given the real zeros -3 and 4, write the factors and multiply to put in standard form.

Accepted Answer

$$x^2 - x - 12$$

Answer

$$x^2 + x - 12$$

Answer

$$x^2 + x + 12$$

Answer

$$x^2 - x + 12$$

Question 5

Given the real zeros 1/3, -1, and 2, write the factors and multiply to put in standard form.

Accepted Answer

$$3x^3 - 5x^2 - 7x + 2$$

Answer

$$3x^3 + 5x^2 - 7x - 2$$

Answer

$$3x^3 - 5x^2 + 7x - 2$$

Answer

$$3x^3 + 5x^2 + 7x + 2$$

Question 6

Given the real zeros -1, 2, and 2, write the factors and multiply to put in standard form.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

6m2 + 16m

Accepted Answer

2m(3m + 8)

Answer

2(3m² + 8m)

Answer

2m(3m - 8m)

Answer

not factorable

Question 8

Factor completely:
-8x² + 10x + 3

Accepted Answer

-1 (2x - 3) (4x + 1)

Answer

(2x - 3) (-4x - 1)

Answer

-1 (-2x + 3) (4x + 1)

Answer

(-2x + 3) (4x + 1)

Question 9

60m³ + 54m² - 6m

Accepted Answer

6m (10m-1) (m+1)

Answer

(6m²+6m) (10m-1)

Answer

(60m²-1) (m+1)

Answer

PRIME

Question 10

4m² - 18m + 14

Accepted Answer

2(m-1) (2m-7)

Answer

(2m-2) (2m-7)

Answer

(14m-14) (m-1)

Answer

PRIME

Question 11

x³ + 11x² + 10x

Accepted Answer

x(x+1) (x+10)

Answer

(x+1) (x+10)

Answer

(x²+1) (x+10)

Answer

PRIME

Question 12

3m² - 10m + 8

Accepted Answer

(3m-4) (m-2)

Answer

(m-2) (4m-3)

Answer

(3m-4) (2-m)

Answer

PRIME

Question 13

2x³ - 20x² - 48x

Accepted Answer

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

Answer

2x(x²-10x-24)

Answer

(2x²+2) (x-12)

Answer

PRIME

Question 14

5x³ - 40x² + 60x

Accepted Answer

5x(x-2) (x-6)

Answer

(5x²-2) (x-6)

Answer

5x(x²-8x+12)

Answer

PRIME

Question 15

15m³ + 24m² + 9m

Accepted Answer

3m(5m+3) (m+1)

Answer

3m(5m²+8m+3)

Answer

3m(5m-3) (m-1)

Answer

PRIME

Question 16

The process such as _________ is the decomposition of polynomial into a product of two or more polynomials.

Accepted Answer

Factoring

Answer

Rationalizing

Answer

Counting

Answer

Multiplying

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