Factors to Zeros

To find zeroes of polynomials, we...

• say x=0

• make pancakes

• ask NASA

• set factors equal to zero

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

• True

• False

What do "zeros" represent?

• something a polynomial can not be.

• the place that the polynomial crosses the x axis/ the x value that makes the whole equation equal to zero

• the place that the polynomial crosses the y axis/ the y value where x=0

• the number zero

• p(x) = (x − 1)(x + 2)(x + 5)
• p(x) = (x + 1)(x − 2)²(x − 5)
• p(x) = (x − 1)²(x + 2)(x + 5)
• p(x) = (x − 1)(x + 2)²(x + 5)

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 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)

If the zeros of a polynomial are -1, 3, and 7 then what does the polynomial look like in factored form?

• (x-1)(x+3)(x+7)

• (x+1)(x-3)(x-7)

• -x² + 3x + 7

• (x-1)

Given the zeros of a polynomial, write it in factored form.

• (x-1)(x-6)(x+8)

• (x+1)(x-6)(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)

Find zeros of 3x^3 - 27x

• x = -3 and 3

• x = -1, 0, 27

• x = -3, 0, 3

• x = -3, 1, 3