Building Equations from Polynomial Roots

Write the equation of the quadratic

whose roots are -4, -2.

• x²-6x+8

• x²+6x+8

• x²-4x-2

• x²-2x-4

Write the equation for a parabola

that opens downward whose zeros are x = 1, x = 3.

• x²-4x+3

• x²+4x+3

• -x²+4x-3

• -x²-4x-3

Write the equation of the parabola above with the given roots.

• x²-x-20

• x²+x-20

• -x²-x+20

• -x²+x+20

Write the function rule for the given graph.

• f(x)= (x-1)(x-5)

• f(x)= (x+1)(x+5)

• f(x)= -(x-1)(x-5)

• f(x)= -(x+1)(x+5)

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

If you know 3 and 2i are roots of a polynomial function, state the polynomial 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)

Identify the solutions.

• x = -2, x = -1, x = 0

• x = -2, x = 0

• x = -1, x = 0, x = 2

• x = -2, x = 0, x = 1

If x = -10 is a root to the polynomial function f(x), then which statement below is also true?

• (x + 10) is a factor

• (x - 10) is a factor

• x = -10 is also a root

Write the polynomial with the given zeros

• A

• B

• C

• D