Quiz about Factoring Review Vocabulary

Question 1

Given the quadratic equation, $$x^2-2x-63=0$$ , choose its factored form, and solution.

Accepted Answer

$$\left(x-9\right)\left(x+7\right)=0$$

$$x=9;\ x=-7$$

Answer

$$\left(x+9\right)\left(x-7\right)=0$$

$$x=-9;\ x=7$$

Answer

$$\left(x-21\right)\left(x+3\right)=0$$ $$x=21;\ x=-3$$

Answer

$$\left(x-8\right)\left(x+6\right)=0$$

$$x=8;\ x=-6$$

Answer

$$\left(x+21\right)\left(x-3\right)=0$$ $$x=-21;\ x=3$$

Question 2

Factor the Polynomial

2x³+ 5x² + 6x + 15

Accepted Answer

(x² + 3) (2x + 5)

Answer

(x² - 3) (2x - 5)

Answer

(2x² - 3) (x - 5)

Answer

(2x² + 3) (x + 5)

Question 3

Factor 4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

Question 4

Complete the factoring. 5x²- 40x will factor to 5x( __ )

Accepted Answer

x - 8

Answer

8 - x

Answer

x2 - 8

Answer

8 - x2

Question 5

x² - 2x - 63 factors to (x - 9) ( ___ )

Accepted Answer

x + 7

Answer

9 - x

Answer

x - 7

Answer

x2 + 9

Question 6

Complete the factoring.

7x²y⁵ + 56x²y⁴ is factored to 7x²y⁴ ( __ )

Accepted Answer

y + 8

Answer

7y + 8x

Answer

y + 8x2

Answer

x2y + 8

Question 7

Factor by grouping: 20a³-25a²b + 8ab²-10b³

Accepted Answer

(5a² + 2b²) (4a - 5b)

Answer

(5a² + 2b)(4a - 5b)

Answer

(5a² - 2b²)(4a + 5b)

Answer

(20a² +2b²)(a - 5b)

Question 8

Is it possible to factor the expression? 14x⁹(y+10) + 4(y + 10) If so, factor it.

Accepted Answer

Yes: (y + 10)(14x⁹ + 4)

Answer

Yes: 14x⁹(y + 14)

Answer

NO

Answer

Yes: 14x⁹ (y+10) + 4

Question 9

Complete the factoring:

x² - 12x + 32 is factored into (x-8)(___)

Accepted Answer

x - 4

Answer

x + 4

Answer

x2 + 8

Answer

8 - x

Question 10

Factor Completely: 18x² - 78x - 60

Accepted Answer

6(3x + 2)(x - 5)

Answer

6(3x - 2)(x + 5)

Answer

(18x +12)(x - 5)

Answer

Prime

Question 11

Factor Completely:

2r² -17rt + 8t²

Accepted Answer

(2r - t)(r - 8t)

Answer

Prime

Answer

(2r + t)( r - 8t)

Answer

(2r + t)(r + 8t)

Question 12

Factor Completely:

x²+ 3x - 28

Accepted Answer

(x + 7)(x - 4)

Answer

(x - 7)(x - 4)

Answer

(x - 7)(x + 4)

Answer

( x + 7)(x + 4)

Question 13

What are the solutions to the factored polynomial?

(x - 2)(x +3) = 0 (Choose TWO options)

Accepted Answer

-3

Accepted Answer

2

Answer

3

Answer

-2

Answer

0

Question 14

What are the zeros to the factored polynomial: m(3m - 4)(2m + 1) = 0 (Choose THREE options)

Accepted Answer

0

Accepted Answer

4/3

Accepted Answer

-1/2

Answer

1/2

Answer

-4/3

Question 15

What are the factors of 2m² + 13m - 24? (Choose TWO options)

Accepted Answer

(2m - 3)

Accepted Answer

(m + 8)

Answer

(m - 6)

Answer

(2m + 4)

Answer

(2m + 3)

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