Finding Zeros and Multiplicities of Polynomials

Given one complex zero use the conjugate root theorem to find another.  Zero is: -12-8i

• 12+8i

• -12+8i

• 12-8i

• -12-8i

How many real zeros does the function have?

• None

• 2

• 3

• 4

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

What is the equation of this graph in factored form?

• (x - 1)(x + 3)²

• (x - 1)²(x + 3)

• (x + 1)²(x - 3)

• (x + 1)(x - 3)²

Find the zero(s) of the function.

• x = 1

• x = -3

• x = {-1, 3}

• x = 2

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

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)

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3

• 4

• 5

• 0

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.