Quiz about Math of Legends Factoring Polynomials

Question 1

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 2

Factor:
56a³-8a

Accepted Answer

8a(7a2-1)

Answer

8a²(56a³-8a)

Answer

8a(7a3-a)

Answer

8a²(35a²-a)

Question 3

Factor:
2n²-8n³

Accepted Answer

2n2(1-4n)

Answer

2n²(n-4n²)

Answer

2n³(10-8n²)

Answer

3n(1-4n)

Question 4

Factor:
x² + 5x - 24

Accepted Answer

(x + 8)(x - 3)

Answer

(x - 8)(x + 3)

Answer

(x + 6)(x - 4)

Answer

(x + 12)(x - 2)

Question 5

Factor:
x² - 10x + 24

Accepted Answer

(x - 6)(x - 4)

Answer

(x + 6)(x + 4)

Answer

(x - 12)(x + 2)

Answer

(x - 8)(x - 3)

Question 6

Factor
3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 7

Factor
3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 8

Factor Completely:

2c² + 2c - 84

Hint: Factor GCF first.

Accepted Answer

2(c+7)(c-6)

Answer

(c-6)(2c+14)

Answer

(c+7)(2x-12)

Answer

(c-4)(2c+21)

Question 9

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 10

x2 - 25

Accepted Answer

( x + 5 ) ( x - 5 )

Answer

( x - 5 ) ( x - 5 )

Answer

( x + 5 ) ( x + 5 )

Answer

Prime

Question 11

Factor:
p² - 14p

Accepted Answer

p(p - 14)

Answer

p(1 - 14)

Answer

2p(p - 7)

Answer

p2(1-14)

Question 12

Factor
4n²-17n-15

Accepted Answer

(n-5)(4n+3)

Answer

(n-10)(6n+1)

Answer

(4n-5)(n-3)

Answer

(n-5)(4n-3)

Question 13

Factor
4n²-17n-15

Accepted Answer

(n-5)(4n+3)

Answer

(n-10)(6n+1)

Answer

(4n-5)(n-3)

Answer

(n-5)(4n-3)

Question 14

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 15

Which of the following is one of the factors of the expression: $$4x^2-25?$$

Accepted Answer

$$\left(2x-5\right)$$

Answer

$$\left(4x-5_{ }\right)$$

Answer

$$\left(2x+1\right)$$

Answer

$$\left(4x-1\right)$$

Question 16

What is the factored form of the expression? $$x^2-16$$

Accepted Answer

$$\left(x-4\right)\left(x+4\right)$$

Answer

$$\left(x-8\right)\left(x+8\right)$$

Answer

$$\left(x-4\right)\left(x-4\right)$$

Answer

$$\left(x-8\right)\left(x-8\right)$$

Question 17

Which shows the polynomial $$8x^2+16x+8$$ completely factored?

Accepted Answer

$$8\left(x+1\right)^2$$

Answer

$$\left(4x+4\right)^2$$

Answer

$$\left(4x+4\right)\left(2x+2\right)$$

Answer

$$8\left(x+1\right)\left(x-1\right)$$

Question 18

When factored completely, $$x^3-9x$$ is equivalent to:

Accepted Answer

$$x\left(x+3\right)\left(x-3\right)$$

Answer

$$x\left(x-3\right)$$

Answer

$$\left(x+3\right)\left(x-3\right)$$

Answer

$$x\left(x+3\right)$$

Question 19

Which expression is the factored form of $$2x^2-2x-12?$$

Accepted Answer

$$2\left(x+2\right)\left(x-3\right)$$

Answer

$$2\left(x+6\right)\left(x-1\right)$$

Answer

$$2\left(x+3\right)\left(x-2\right)$$

Answer

$$2\left(x+1\right)\left(x-6\right)$$

Question 20

If $$\left(x-3\right)$$ and $$\left(x+7\right)$$ are the factors of the trinomial $$x^2+bx-21$$ , what is the value of b?

Accepted Answer

$$4$$

Answer

$$-3$$

Answer

$$-4$$

Answer

$$7$$

Question 21

If $$\left(2x-3\right)$$ and $$\left(x+5\right)$$ are multiplied to form the trinomial $$ax^2+bx+c$$ , what is the value of b?

Accepted Answer

$$7$$

Answer

$$-15$$

Answer

$$2$$

Answer

$$4$$

Question 22

Factor the trinomial completely. $$x^2-x-30$$

Accepted Answer

$$\left(x+5\right)\left(x-6\right)$$

Answer

$$\left(x+1\right)\left(x-30\right)$$

Answer

$$\left(x+6\right)\left(x-5\right)$$

Answer

$$prime$$

Question 23

Factor the trinomial completely. $$x^2-6x-72$$

Accepted Answer

$$\left(x-12\right)\left(x+6\right)$$

Answer

$$\left(x-72\right)\left(x+1\right)$$

Answer

$$\left(x+12\right)\left(x-6\right)$$

Answer

$$prime$$

Question 24

Factor the binomial completely. $$36-25x^2$$

Accepted Answer

$$\left(6+5x\right)\left(6-5x\right)$$

Answer

$$\left(6-5x\right)^2$$

Answer

$$\left(6+5x\right)^2$$

Answer

$$prime$$

Question 25

What is the factored form of the expression? $$x^2+x-6$$

Accepted Answer

$$\left(x-2\right)\left(x+3\right)$$

Answer

$$\left(x-3\right)\left(x+2\right)$$

Answer

$$\left(x+1\right)\left(x-6\right)$$

Answer

$$\left(x-2\right)\left(x-3\right)$$

Question 26

What are the binomial factors of $$x^2+7x-18$$

(Pick 2 answers)

Accepted Answer

$$\left(x+9\right)$$

Accepted Answer

$$\left(x-2\right)$$

Answer

$$\left(x-9\right)$$

Answer

$$\left(x+2\right)$$

Question 27

Which is a factor of $$x^2-11x+24?$$

Accepted Answer

$$\left(x-3\right)$$

Answer

$$\left(x+3\right)$$

Answer

$$\left(x+4\right)$$

Answer

$$\left(x-4\right)$$

Question 28

If $$\left(x-3\right)$$ is a factor of $$x^2+x-12$$ , then the other factor is?

Accepted Answer

$$\left(x+4\right)$$

Answer

$$\left(4x-3\right)$$

Answer

$$\left(3x-4\right)$$

Answer

$$\left(x-4\right)$$

Question 29

Written in factored form, the trinomial $$2y^2+26y+80$$ is equivalent to:

Accepted Answer

$$2\left(y+5\right)\left(y+8\right)$$

Answer

$$2\left(y-5\right)\left(y-8\right)$$

Answer

$$\left(2y+5\right)\left(y+8\right)$$

Answer

$$\left(y+5\right)\left(2y+16\right)$$

Question 30

Which of the following is the factor of a² - 2a³ + 2a⁴ ?

Accepted Answer

a² ( 1 - 2a + 2a²)

Answer

a ( 1 - 2a + 2a²)

Answer

a² ( 2a + 2a²)

Answer

None of the above

Question 31

Factor x² + xy

Accepted Answer

x ( x + y )

Answer

x + y

Answer

x2(x + y)

Answer

x ( x² + y )

Question 32

Which of the following is equal to ( x + 3) (x + 2) ?

Accepted Answer

x² + 5x + 6

Answer

x² - 5x - 6

Answer

x²+ 5x - 6

Answer

x² + 6x + 5

Question 33

Which of the following is equal to (x + 3) ( x - 5)?

Accepted Answer

x² - 2x - 15

Answer

x² + 2x - 15

Answer

x² - 2x + 15

Answer

x² + 2x + 15

Question 34

Factor x² + 19x + 84

Accepted Answer

( x + 7) ( x + 12)

Answer

( x - 7 ) ( x - 12 )

Answer

( x + 8 ) ( x + 11 )

Answer

( x - 8 ) ( x - 11 )

Question 35

Factor x² - 9x + 20

Accepted Answer

( x - 5 ) ( x - 4 )

Answer

( x - 5 ) ( x + 4 )

Answer

( x - 10 ) (x - 2 )

Answer

(x - 10 ) (x + 2 )

Question 36

( a - 4) + ( a - 4 ) 2x = ?

Accepted Answer

( a - 4 ) ( 1 + 2x )

Answer

(a - 4 ) 2x

Answer

(a - 4) (2x - 4)

Answer

( a - 4 )( 1 - 2 x )

Question 37

6x ( y - 2 ) + ( y - 2 )

Accepted Answer

(6x + 1 ) (y - 2 )

Answer

(6x - 1) ( y - 2 )

Answer

(y - 2) (6x)

Answer

(y - 2 ) ( 6x - 1)

Question 38

ab² - cb² - 6a + 6c = ?

Accepted Answer

(a - c) (b² - 6 )

Answer

(b² - 6) (a + c )

Answer

( b² + 6) ( a - c)

Answer

(a - c ) (b - 6)

Question 39

axy + bcxy - az - bcz = ?

Accepted Answer

(a + bc) (xy - z)

Answer

(a - bc) (xy - z)

Answer

(a - bc) (xy + z)

Answer

(a + bc) (xy + z)

Question 40

What is the greatest common factor of 3 and 6?

Accepted Answer

3

Answer

6

Answer

9

Answer

12

Question 41

Factor completely : 4x + 8

Accepted Answer

4 (x + 2)

Answer

2 (2x + 4)

Answer

2 (2x - 4)

Answer

4 (x - 2)

Question 42

What is the missing term in the expression x² - ____ + 144 to make it a perfect square trinomial?

Accepted Answer

24x

Answer

12x

Answer

36x

Answer

28x

Question 43

Find the greatest common monomial factor of 25x² + 15x.

Accepted Answer

5x

Answer

x

Answer

10x

Answer

10

Question 44

What are the factors of the expression 16m² + 8m?

Accepted Answer

(8m) (2m + 1)

Answer

(8m + 1) (2m + 4)

Answer

(4m + 4) (4m + 2)

Answer

(4m) (4m + 2)

Math of Legends Factoring Polynomials

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics