Polynomial Functions

Solve:

• x= 2, (2+i)/2, (2-i)/2

• x= 2, 1+i, 1-i

• x= 2

• x= -2

Solve Using Synthetic Division:

• 2x-5x-3

• -5x²-2x+3

• 5x²+2x-3

• 3-5x²+2x

Which one of the following functions is odd?

• f(x) = 3x⁴ - 4x³

• g(x) = 5x⁴ + 3x²

• h(x) = 6x⁵ - x³

• k(x) = x⁶ + 8x²

On what interval is the function decreasing?

• ( −∞, −2.55) U (0, 2.55)

• (∞, −6.25) U (36, −6.25)

• (−∞, ∞)

• (−∞, 0)

The polynomial is...

• Odd degree, positive leading coefficient.

• Odd degree, negative leading coefficient.

• Even degree, positive leading coefficient.

• Even degree, negative leading coefficient.

This polynomial would have how many roots?

f(x) = 4x⁵ - 3x⁴ + 2x² - 7x + 1

• 7

• 5

• 4

• 1

Is the polynomial even, odd, or neither?

• Even

• Odd

• Neither

• Please explain this to me.

What is the remainder when a³ - 4 is divided by a+2?

• -2

• -6

• -12

• 4

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9

• 3x² - 3x + 8 - 9/x+1

• 3x² + 3x + 8 + 7/x+1

• 3x³ + 3x² + 8x + 7

if f(x) = x³+8x+24, then find f(-2) using synthetic division. (remainder)

• 12

• 8

• 0

• -6