Quiz about Enrichment Activity Factoring Polynomials

Question 1

Factor:

56a³-8a

Accepted Answer

8a(7a2-1)

Answer

8a²(56a³-8a)

Answer

8a(7a3-a)

Answer

8a²(35a²-a)

Question 2

Factor:
2n³+16n+12

Accepted Answer

2(n³+8n+6)

Answer

2n(n³+24n+6)

Answer

2n(n³+8n+6)

Answer

3(n³+8n+6)

Question 3

Factor:
2n²-8n³

Accepted Answer

2n2(1-4n)

Answer

2n²(n-4n²)

Answer

2n³(10-8n²)

Answer

3n(1-4n)

Question 4

What is the GCF?

5x²+20x

Accepted Answer

5x

Answer

5

Answer

x

Answer

20x

Question 5

What is the GCF?

2x²-4x+8

Accepted Answer

2

Answer

2x

Answer

x

Answer

1

Question 6

What is the GCF?
6w³ - 14w

Accepted Answer

2w

Answer

6w

Answer

4

Answer

3w

Question 7

Factor:
x² - 5x

Accepted Answer

x(x - 5)

Answer

1(x - 5)

Answer

x(x - 5x)

Answer

x2(1 - 5)

Question 8

Factor completely:

2x + 2

Accepted Answer

2(x+1)

Answer

x

Answer

x+2

Answer

2(x+2)

Question 9

What is the greatest common monomial factor of 5x + x² ?

Accepted Answer

x

Answer

5

Answer

2

Answer

5x

Question 10

An expression with four or more terms.

Accepted Answer

polynomial

Answer

monomial

Answer

binomial

Answer

trinomial

Question 11

Which of these can factor using difference of two squares?

Accepted Answer

144x² - 49y²

Answer

x² + 4x - 12

Answer

100x² + 20x + 1

Answer

14x - 16

Question 12

Which is an example of difference of two squares?

Accepted Answer

( x2 - 4)

Answer

( x3 - 4)

Answer

( x2 - 3)

Answer

( x2 + 4)

Question 13

If the area of your garden is ( d^{2 _} 16 ) and the length is

( d + 4) , what is the width?

Accepted Answer

(d - 4)

Answer

( d+ 2)

Answer

( d - 2)

Answer

( d + 4)

Question 14

We can't factor using difference of two square this

49x² + 4y². Why?

Accepted Answer

Because we can't factor using difference of two squares if it is addition sign.

Answer

Because 4 is not a perfect cubed number.

Answer

Because 4 is not a perfect squared number.

Answer

Because 49 is not a perfect squared number.

Question 15

The value of k in the perfect square trinomial kx²+30xy +9y² is _________

Accepted Answer

25

Answer

3

Answer

5

Answer

81

Question 16

The value of k in the perfect square trinomial 4 a² + 20a +k is _________.

Accepted Answer

25

Answer

15

Answer

20

Answer

5

Question 17

The value of k in the perfect square trinomial 225a² + 30ab + k is _________

Accepted Answer

b2

Answer

10

Answer

15

Answer

4b2

Question 18

Factor completely. 16p²- 8p + 1

Accepted Answer

(4p-1)2

Answer

(4p+1)2

Answer

(p-4)2

Answer

(4p-1)

Question 19

If one of the factor of 4x² + 6 is 2, what is the other factor?

Accepted Answer

2x² + 3

Answer

2x + 3

Answer

4x + 6

Answer

2x + 6

Question 20

The area of the floor of a rectangular room is 84 square feet. The length of the room is 5 feet more than its width. Find the width and the length of the room.

Accepted Answer

7 feet and 12 feet

Answer

7 feet and 11 feet

Answer

8 feet and 11 feet

Answer

8 feet and 12 feet

Question 21

Which expression represents the length of the side of the square with an area of 4b² + 16b + 16 square units?

Accepted Answer

(2b + 4) units

Answer

(4b + 2) units

Answer

(8b + 4) units

Answer

(4b + 8) units

Question 22

All of the following expressions are perfect squares except one, what is it?

Accepted Answer

12a²b²

Answer

x²y⁶

Answer

16a²b⁶

Answer

25x²y⁴

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