Factoring Polynomial Rational

State the possible rational zeros for each function.  Then find all rational zeros.

Tags

CCSS.HSF-IF.C.7C

• (x + 2)(x - 1)(x - 5)

• (x + 2)(x - 1)(x + 5)

• (x - 2)(x - 1)(x + 5)

• (x - 2)(x + 1)(x + 5)

Tags

CCSS.HSA.APR.B.2

Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Find the zeros of the function by factoring. f(x) = x³ - 9x² + 14x

• x = 2, 7

• x = 0, 2, 7

• x = 1, 14

• Cannot be solved by factoring

Tags

CCSS.HSF-IF.C.7C

Find the zeros of the function by factoring.

f(x) = 25x⁴ - 29x² + 4

• x = 1, 4

• x = 4/25 , 1

• x = -1, -2/5, 2/5, 1

• x = 2/5, 1

Tags

CCSS.HSF-IF.C.7C

Find the zeros of the function by factoring. f(x) = x³ + 2x² - 25x - 50

• (x+5)(x-5)(x+2)

• x = 2, 5

• x = -5, -2, 5

Tags

CCSS.HSF-IF.C.7C

Find the zeros of the function by factoring.

f(x) = -27x⁴ + 12x²

• x = -2/3, 0, 2/3

• x = -2, 2

• x = -2/3, 2/3

• Cannot be solved by factoring

Tags

CCSS.HSF-IF.C.7C

Factor the given polynomial completely and then list the zeros:

f(x) = x³ - 10x² - 3x + 108 : (x-9) is a factor

(a)  

Tags

CCSS.HSA.APR.B.2

Tags

CCSS.HSA.APR.B.2

Tags

CCSS.HSA.APR.B.2