Quiz about Factoring Polynomials Videos

Question 1

x4 - 36

Accepted Answer

(x² - 6)(x²+ 6)

Answer

(x + 6)(x - 6)

Answer

(x + 3)(x - 3)(x² + 6)

Answer

cannot be factored

Question 2

k3 - 27

Accepted Answer

(k - 3)(k² + 3k + 9)

Answer

(k - 3)3

Answer

(k + 3)(k² - 3k + 9)

Answer

(k - 3)(k² - 3k + 9)

Question 3

x4 - 81

Accepted Answer

(x - 3)(x + 3)(x² + 9)

Answer

(x² - 9)(x² + 9)

Answer

(x - 3)²(x + 3)²

Answer

(x - 3)4

Question 4

16x⁴ - 49

Accepted Answer

(4x² - 7)(4x² + 7)

Answer

(4x - 7)(4x + 7)

Answer

(2x - 7)(2x + 7)(4x² + 7)

Answer

cannot be factored

Question 5

10x⁵y - 40xy³

Accepted Answer

10xy(x² - 2y)(x² + 2y)

Answer

10xy(x⁴ - 4y²)

Answer

cannot be factored

Answer

(x² - 2y)(x² + 2y)

Question 6

250m³ + 54

Accepted Answer

2(5m + 3)(25m² - 15m + 9)

Answer

2(125m³ + 27)

Answer

(5m + 3)(25m² - 15m + 9)

Answer

cannot be factored

Question 7

a⁵b - 64 ab

Accepted Answer

ab(a² - 8)(a² + 8)

Answer

ab(a⁴ - 64)

Answer

ab(a - 4)(a² + 4a + 16)

Answer

ab(a - 2)²(a + 2)²

Question 8

k⁴ - 10k² - 39

Accepted Answer

(k² - 13)(k² + 3)

Answer

(k - 13)(k + 3)

Answer

(k² + 15)(k² - 3)

Answer

(k + 13)(k - 3)

Question 9

4w⁴ + 16w² + 15

Accepted Answer

(2w²+ 5)(2w² + 3)

Answer

(w² + 10)(w² + 6)

Answer

(w² + 15)(4w² + 1)

Answer

(2w + 5)(2w + 3)

Question 10

2n³ + 7n² - 2n - 7

Accepted Answer

(n + 1)(n - 1)(2n + 7)

Answer

cannot be factored

Answer

(n - 1)²(2n + 7)

Answer

(n² - 1)(2n + 7)

Question 11

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 12

Factor:
x² - 49

Accepted Answer

(x + 7)(x - 7)

Answer

(x + 7)2

Answer

(x - 7)2

Answer

(x+7)(x-1)

Question 13

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

Accepted Answer

3(x + 5)(x + 1)

Answer

3(x² + 6x + 5)

Answer

(x + 5)(x + 1)

Answer

Prime

Question 14

x4 - 81

Accepted Answer

(x - 3)(x + 3)(x² + 9)

Answer

(x² - 9)(x² + 9)

Answer

(x - 3)²(x + 3)²

Answer

(x - 3)4

Question 15

Find the expression equivalent to x²+5x-24

Accepted Answer

(x-3)(x+8)

Answer

(x+3)(x+8)

Answer

(x-3)(x-8)

Answer

(x+3)(x-8)

Question 16

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 17

What is the first question you ask yourself when factoring a polynomial?

Accepted Answer

Is there a GCF?

Answer

How many terms does it have?

Answer

What strategy should I use?

Answer

Why do I have to learn this?!?!?!

Question 18

Find the factors of 100x²-64

Accepted Answer

(10x-8)(10x+8)

Answer

(x-10)(x+8)

Answer

(10x+8)(10x+8)

Answer

(10x-8)(10x-8)

Question 19

One root of 2x³-13x²+36 is 2.
What is another zero?

Accepted Answer

6

Answer

3/2

Answer

2

Answer

-6

Question 20

Simplify the expression.
x³(2x²+3x)

Accepted Answer

2x⁵+3x⁴

Answer

2x6+3x3

Answer

5x9

Answer

5x

Question 21

(5x+2)(x²-3x+6)

Accepted Answer

5x³ - 13x² + 24x +12

Answer

5x³- 17x²+24x +12

Answer

5x³+ 17x² - 24x +12

Answer

5x³ +13x² - 24x - 12

Question 22

Find the product.
(x + 7)²

Accepted Answer

x² + 14x + 49

Answer

x²+ 7x + 7x + 49

Answer

x²+ 7x + 7

Answer

7x²+ x + 7

Question 23

(x+10)(x-10)

Accepted Answer

x2 - 100

Answer

x2 + 100

Answer

x² + 20x - 100

Answer

x² -20x + 100

Question 24

(7-5i)(7+5i)

Accepted Answer

74

Answer

75

Answer

74-1

Question 25

What letter usually represent imaginary number?

Accepted Answer

i

Answer

a

Answer

j

Answer

x

Question 26

Evaluate:
i²⁴

Accepted Answer

d.)  1

Answer

a.)  i

Answer

b.)  -i

Answer

c.)  -1

Question 27

Simplify
2i - 7i + 10

Accepted Answer

-5i+10

Answer

5i

Answer

9i+10

Answer

5i+10

Question 28

(5-i)(5-i)

Accepted Answer

24-10i

Answer

15-8i

Answer

36

Answer

24+10i

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