Polynomial Function

Which description best matches the function shown:

• Odd degree with positive leading coefficient.

• Even degree with positive leading coefficient.

• Degree three, with negative leading coefficient.

• Degree four, with negative leading coefficient.

The function f(x) = -5x⁴ + 3x² - 3x + 5

• Extends from quadrant 2 to quadrant 1.

• Extends from quadrant 2 to quadrant 4.

• Extends from quadrant 3 to quadrant 1.

• Extends from quadrant 3 to quadrant 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

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 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

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

True or False:  If (7x + 4) is a factor of some polynomial function f, then 4/7  is a zero of the function. 

• True

• False

Use the quadratic formula to find the solutions for
y = -x² - 5x + 12

• -4.9 and -0.1

• -8.54 and 8.54

• -0.45 and 3.55

• -6.77 and 1.77

Use the quadratic formula to find the solutions for
y = 2x² - 9x + 5

• -8.14 and -6.14

• 4.07 and 3.07

• 3.85 and 0.65

• ZERO solutions

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)