Quiz about Algebra 2 Factoring Polynomial Equations

Question 1

Solve by Factoring: 4x² + 11x - 3 = 0

Accepted Answer

x = 1/4 and x = -3

Answer

x = -3/4 and x = -1

Answer

x = 4 and x = 3

Answer

x = -1/4 and x = 3

Question 2

Factor:
x²- 400

Accepted Answer

( x - 20) ( x + 20)

Answer

( x - 200) ( x + 200)

Answer

( x + 20) ( x + 20)

Answer

Prime

Question 3

Solve (x²-9) = 0

Accepted Answer

x = 3, -3

Answer

x = 9

Answer

x = 9, -9

Answer

x = 3

Question 4

Solve by factoring: 3x⁴-6x²+3 = 0 (Hint: take out the GCF)

Accepted Answer

{ -1 mult. 2, 1 mult. 2}

Answer

{ - 1, 1}

Answer

{ 3 mult. 2, -3 mult. 2}

Answer

{3, -3}

Question 5

Solve: 2x²-14x+24 = 0

Accepted Answer

x = 4, 3

Answer

x = 9/2, 10/4

Answer

x = -3, -4

Answer

x = -9/2, -10/4

Question 6

What is the first step when factoring polynomials?

Accepted Answer

Find the GCF

Answer

List all the terms

Answer

Make a triangle

Answer

Write the answer

Question 7

Factor Completely.
8x³ - 18x

Accepted Answer

2x(2x+3)(2x-3)

Answer

2x(4x2-9)

Answer

(4x²+3)(2x-3)

Answer

PRIME

Question 8

How many solutions does the following expression have?

4w⁴ + 16w² + 15

Accepted Answer

4

Answer

2

Answer

15

Answer

3

Question 9

How many solutions does the following expression have?

7x⁵ - 3x⁴ + 5x - 8

Accepted Answer

5

Answer

4

Answer

7

Answer

8

Question 10

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

Question 11

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 12

Solve x⁴ - 256 = 0

Accepted Answer

x = 4, x -4, x = 4i, x = -4i

Answer

x = 4, x = - 4

Answer

x = 4, x = 4i

Answer

x = 4, x -4, x = 4i

Question 13

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

Accepted Answer

-6, 3i, -3i

Answer

6, 3, -3

Answer

-6, 3, -3

Answer

6, 3i, -3i

Question 14

What are the zeros of the function?

Accepted Answer

-3, -1, 2, 5

Answer

4,1

Answer

3,1,-2,-5

Answer

-2,4

Question 15

Solve by factoring.

14x - 49x² = 0.

Accepted Answer

x = 0, x = 2/7

Answer

x = 0, x = 7/2

Answer

x = -2/7, x = 2/7

Answer

x = 2, x = 7

Question 16

Solve by factoring.

3x³ + x² - 14x = 0

Accepted Answer

x = 0, x = 2, x = -7/3

Answer

You can't factor.......

Answer

x = 0, x = -2, x = 7/3

Answer

x = 2, x = -7/3

Algebra 2 Factoring Polynomial Equations

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