Polynomial Functions Review

Perform the indicated operation.

Write answer in descending order.

( 9x² - 7x + 8 ) - ( 12x² - 8x - 11 )

• -3x² - 15x + 19

• 21x² - 15x - 3

• -3x² - 15x - 3

• -3x² + x + 19

Factor out the GCF:
9x⁴y - 24x²

• 9x²y(x² - 3)
• 3x³(3xy - 8)
• 3x²(3x²y - 8)
• x²(9x²y - 24)

Factor  by grouping:
20x² - 16x - 25x +20

• (20x - 5)(x - 4)
• (4x + 5)(5x + 4)
• (5x - 4)(4x - 5)
• (5x + 4)(4x - 5)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Factor:  8x³ - 1

• (2x + 1)(2x² - 2x + 4)

• (2x - 1)(4x² + 2x + 1)

• (2x² + 1)(x - 1)

• (8x + 1)(x² - x + 1)

Which one of the following functions is even?

• f(x) = x⁴ + x³
• g(x) = x⁴ + x²
• h(x) = x⁵ + x³
• k(x) = x³ + x

Which one of the following functions is odd?

• f(x) = 3x⁴ - 4x³
• g(x) = 5x⁴ + 3x²
• h(x) = 6x⁵ - x³
• k(x) = x⁶ + 8x²

The function shown in the graph is:

• even
• odd
• neither even nor odd
• both even and odd

The function shown in the graph is:

• even
• odd
• neither odd nor even
• both odd and even

Describe the transformations of the graph y = (x - 3)³ -2

• Right 3, Down 2
• Left 3, Up 2
• Right 3, Up 2
• Left 3, Down 2