Finding Zeros of Polynomials Using a Graph

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

What are the zeroes of this graph?

• x = -2, x = 1, x = 4

• x = -4, x = 0, x = 1, x = 2,

• x = -2, x = -1, x = 0, x = 4

• x = -4, x = -1, x = 2

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

What are the zeroes of this graph?

• x = -3, x = 5

• x = -3, x = 0, x = 5

• x = -3, x = 2, x = 5

• x = 0

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)

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

Reorder the steps for finding all roots (zeros) of polynomials.

• Graph the function and identify rational roots.

• Use synthetic division with one of the rational roots.

• Use the quadratic formula to find the remaining roots.

• Use synthetic division again (if needed) with another rational root until you get a quadratic expression.

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2