Polynomial Rational and Radical Relationships Practice

What is the above expression classified as?

• 4th degree Monomial
• Cubic Binomial
• CubicTrinomial
• 4th degree Polynomial

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)
• (x-4)(x-32)
• (x+3)(x-4)
• x+2)(x+5)

(x²+4x-45)⁄(x+9) (use synthetic division)

• x+5

• -x+5

• -x-5

• x-5

Select the correct expansion of

(1 - x)⁵

• 1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

• 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

• -1 + 5x - 10x² + 10x³ - 5x⁴ + x⁵

• 1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

Find the fourth term of the expansion (5+3y)⁵.

• 2025y⁴
• 750y³
• 75y⁴
• 6750y³

f(x) = 2x³ - 3x² + 4x -10

State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0

f(x) = x³ - 3x² - 4x

Find the zeros of f(x).

• {-4, 0, 1}

• {-1, 4}

• {-1, 0, 4}

• {-4, 1}

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even
• Ask the person sitting next to me
• Use synthetic division and see if the remainder is zero
• Flip a coin

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

Simplify the following radical: √150

• 5√15
• 5√2
• 5√6
• 15√5