Polynomials, Factoring and Zeros

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

Is (x-8) a factor of (x²-16x+64)?

• Yes

• No

8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

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)

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)

Write the cubic polynomial in factored form with 
zeros -1, 1, and 4

• (x + 1) (x - 1) (x - 4)

• x³ - 4x² - x + 4

• (x + 1) (x - 1) (x + 4)

• x³ - 4x² - x - 4

Factor and state the zeros:

• A

• B

• C

• D

Factor x^4 - 4x^2 - 21

• (x^2 - 7)(x^2 + 3)

• (x^2 + 7)(x^2 - 3)

• (x^2 + 1)(x^2 - 21)

• (x^2 - 1)(x^2 + 21)

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)