Polynomial Functions Review

Relative max value(s)

• -5

• 0

• -1 and 2

• 1

What are the rational roots of the polynomial?

• -2 and 1

• 2 and -1

• -2, 1, and -1.9

• -2, -1

What are the imaginary roots of the polynomial? x⁴+x³+x²+3x-6

• ± 2 i √5

• √1 and i √2

• ± 3

• ± i √3

Is (x-4) a factor of the polynomial x³-4x²+5x-20

• Yes

• No

Is (x-5) a factor of the polynomial x³-4x²+5x-20

• Yes

• No

What is the remainder of (x⁴+x³-2x²+x-9) ÷ (x²+1)

• -12

• -3

• -6

• 1

If you know 3 and 2i are roots of a polynomial function, state that polynomials factors. 

• (x-3) , (x-2i)

• (x-3), (x-2i),  (x+2i)

• (x-3), (x+3), (x-2i), (x+2i)

• (x-3-2i), (x+3-2i)

Expand the binomial (2x+3)⁴

• 16x⁴+81

• x⁴+4x³+6x²+4x+1

• 16x⁴+96x³+216x²+216x+81

• 16x⁴+186x³+398x²+312x+81

Which polynomial is degree 4 and contains real zeros 4 and -2? (hint solve algebraically, use i and -i)

• x⁴-2x³-8x²

• x²-2x-8

• x⁴-3x³+5x²-x-8

• x⁴-2x³-7x²-2x-8

Describe the transformations to x³. 
f(x)=2(x-4)³

• Stretch of 2, and shifts left 4

• Stretch of 2 and shifts right 4

• Shifts up 2 and left 4

• Stretch of 2 and down 4