Create Polynomials from Roots

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)

Write the polynonmial from the following zeros.

 x = -2, 1, 4

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)

For the following problems write the simplest polynomial function with the given zeros: 7 with multiplicity of 2 and -3

Write the polynomial with the given zeros

• A

• B

• C

• D

If you know that x = 4 is a root to the function f(x), which statement below is true?

• (x - 4) is a factor

• (x + 4) is a factor

• x = -4 is also a root

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

For the following problem write the simplest polynomial function with the given zeros: 2, -1, and -8

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A

• B

• C

• D

• A

• B

• C

• D