Factoring Polynomials and Zeros

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

k² -36

• (k+6)(k-6)

• (k-6)²

• (k+6)²

• (k+6)²(k-6)²

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

Is (x-8) a factor of (x²-16x+64)?

• Yes

• No

Write the factors of the polynomial from the zeros in the graph. Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• (x - 3) (x + 2) (x + 5)

• (x - 5) (x - 2) (x + 3)

• (x + 3) (x + 2) (x + 5)

• (x - 3) (x - 2) (x - 5)

Write a polynomial in factored form with zeros at x = 1, x = -1 and x = 0.

• (x - 1)(x + 1)

• x(x - 1)(x + 1)

• x²(x - 1)(x + 1)

• x(x - 1)(x - 1)

If a polynomial has 2 factors, it will have 2 zeros (or 1 zero with a multiplicity of 2).

• True

• False

What is the factored form of f(x) that reveals the zeros of the function?

• f(x) = (x + 2)(x + 3)

• f(x) = (x + 2)(x + 4)

• f(x) = (x + 3)(x + 5)

• f(x) = (x + 1)(x + 8)

What is the factored form of f(x) that reveals the zeros of the function?

• f(x) = (x + 2)(x + 3)

• f(x) = (x + 2)(x + 4)

• f(x) = (x + 3)(x + 5)

• f(x) = (x + 1)(x + 8)