Quiz about Factoring Binomials and Analyzing Parabolas

Question 1

Factor Completely:
x² - 36

Accepted Answer

(x + 6)(x - 6)

Answer

(x + 9)(x - 4)

Answer

(x - 6)(x - 6)

Answer

(x - 9)(x + 4)

Question 2

What do you call a polynomial that cannot be factored?

Accepted Answer

Prime

Answer

FOIL

Answer

Simplified

Answer

Proper

Question 3

6m2 + 16m

Accepted Answer

2m(3m + 8)

Answer

2(3m² + 8m)

Answer

2m(3m - 8m)

Answer

not factorable

Question 4

Factor the following
12x³y⁴z²+14x⁴yz-6x⁵y⁴z²

Accepted Answer

2x³yz(6xy³z+7x-3x²y³z)

Answer

6x³yz(2y³z+2x-1x²y³z)

Answer

2x²y²z(6y³z+7x-3x²y³z)

Answer

2xyz(6x²y³z+7xyz-3x²y³z)

Question 5

Which binomials are a difference (subtraction) of two squares?
I. 6a²-25
II. 4x²+16
III. b²-9
IV. 49y²-64

Accepted Answer

III and IV

Answer

I only

Answer

III only

Answer

II, III, and IV

Question 6

factor completely
81m² - 1

Accepted Answer

(9m-1)(9m+1)

Answer

not factorable

Answer

(m-9)(m+9)

Answer

9m(9m-1)

Question 7

Factor Completely: 5x⁴-5

Accepted Answer

5(x+1)(x-1)(x²+1)

Answer

5(x²-1)(X²+1)

Answer

25(x²-1)(x²+1)

Answer

5(x4-1)

Question 8

Factor: 27x³ + 8

Accepted Answer

(3x + 2)(9x² - 6x + 4)

Answer

(9x + 2)(3x² + 18x + 4)

Answer

(3x²+4)(9x + 2)

Answer

(27x + 8)(x² - 216x + 64)

Question 9

Factor: 8x³ - 1

Accepted Answer

(2x - 1)(4x² + 2x + 1)

Answer

(2x + 1)(4x² - 2x + 1)

Answer

(2x - 1)(4x² - 2x - 1)

Answer

(2x + 1)(4x² +2x + 1)

Question 10

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X³-343?

Accepted Answer

DIFFERENCE OF CUBES

Answer

DIFFERENCE OF SQUARES

Answer

FACTORING BY GCF

Answer

SUM OF CUBES

Question 11

Factor Completely:
x⁴-9x²Hint: Factor GCF first.

Accepted Answer

x²(x+3)(x-3)

Answer

(x²+3x)(x²-3x)

Answer

(x²+9)(x-3)(x+3)

Answer

x2(x2-9)

Question 12

Factor using Difference of Squares.
x²+ 25

Accepted Answer

Prime

Answer

(x-5)(x+5)

Answer

(x+25)(x-25)

Answer

(x-5)

Question 13

Identify if the expression can be factored as sum or difference of cubes:

3x³ + 24

Accepted Answer

Yes, getting GCF first

Answer

No

Answer

Yes

Answer

It is a sum of squares

Question 14

Factor the following binomial: 8x³-27

Accepted Answer

(2x-3)(4x²+6x+9)

Answer

(2x+3)(4x²-6x+9)

Answer

(2x-3)(4x²+6x-9)

Answer

(2x-3)(2x²+6x+9)

Question 15

Identify the zeros:

Accepted Answer

x=-2, x=0, x=1

Answer

x=-2, x=-1, x=0

Answer

x=-2, x=0

Answer

x=-1, x=0, x=2

Question 16

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

Accepted Answer

x= -4, x=3, x=2

Answer

x= -4, x=3, x= -2

Answer

x= -4, x=-3, x=2

Answer

x=4, x= -3, x= -2

Question 17

Question 17.

Accepted Answer

The function has an Odd degree

Answer

The function has an Even degree

Answer

The function has a Negative coefficient

Answer

The function has 3 real zeros

Question 18

Question 18.

Accepted Answer

Negative Odd

Answer

Positive Odd

Answer

Positive Even

Answer

Negative Even

Factoring Binomials and Analyzing Parabolas

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