Factoring Polynomial and Zero

Complete the factoring.

5x² - 40x will factor to 5x( __ )

• x - 8

• 8 - x

• x² - 8

• 8 - x²

Factor by grouping: 20a³ -25a²b + 8ab² -10b³

• (5a² + 2b²) (4a - 5b)

• (5a² + 2b)(4a - 5b)

• (5a² - 2b²)(4a + 5b)

• (20a² +2b²)(a - 5b)

Complete the factoring:

x² - 2x - 63 factors to (x - 9) ( ___ )

• 9 - x

• x - 7

• x + 7

• x² + 9

What are the solutions to the factored polynomial?

• 2

• 3

• -2

• -3

• 0

Factor x^3 - 2x^2 + x

• x(x - 1)(x + 1)

• x(x - 1)^2

• (x^2 - 1)(x + 1)

• (x^2 - 1)(x - 1)

Factor 3x^5 - 3x^3

• (3x^2 - 1)(x^3 + 1)

• 3x^3(x - 1)(x + 1)

• (3x^3 + 2)(x^2 - 6)

• x^3(3x^2 - 1)

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

• (x-1)(x-6)(x+8)

• (x+1)(x-6)(x-8)

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)

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)

Factor x^4 - x^2 - 30

• (x^2 + 6)(x^2 - 5)

• (x^3 + 6)(x - 5)

• (x^2 - 6)(x^2 + 5)

• (x + 6)(x^3 - 5)