Ch 5 Review

What is the end-behavior?

• lim x-> -oo    f(x) -> oo
   lim x-> oo     f(x) -> -oo
• lim x-> -oo    f(x) -> oo
   lim x-> oo     f(x) -> oo
• lim x-> -oo    f(x) -> -oo
   lim x-> oo     f(x) -> oo
• lim x-> -oo    f(x) -> -oo
   lim x-> oo     f(x) -> -oo

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11
• P(x) = x³-2x²+9x+18
• P(x) = x³+2x²+9x+18
• P(x) = x²-3ix+2x-6i

The polynomial is...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

Identify the zeros:

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

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

• 6, 3, -3
• -6, 3, -3
• -6, 3i, -3i
• 6, 3i, -3i

Factor this sum of cubes:
d³ + 216

• (d + 6)(d² - 6d + 36)
• (d - 6)(d² - 6d + 36)
• (d + 6)(d  - 6)
• (d + 6)(d + 6)(d + 6)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Name each polynomial by degree.
-2k² + 1 - 4k³ - 3k

• Cubic
• Quartic
• Quadratic
• Linear