Roots of a Polynomial

• 0, 2, -3

• 0, 2, -3 multiplicity 2

• 2, -3 mulitiplicity 2

• 0, -2, 3 multiplicity 2

Tags

CCSS.HSF-IF.C.7C

Write the factored form of the polynomial with roots x=-2. x=5, x=2/3

• y=(x-2)(x+5)(3x+2)

• y=(x-2)(x+5)(2x+3)

• y=(x+2)(x-5)(2x-3)

• y=(x+2)(x-5)(3x-2)

Tags

CCSS.HSA.APR.B.3

Even Multiplicities have which of the following effects on the x-axis?

• touches and bounces back

• wiggle

• crosses the x-axis

State the roots of the polynomial: x³ + 11x² + 24x.

• 8, 3

• -8, -3

• 0, 8, 3

• 0, -8, -3

Tags

CCSS.HSF-IF.C.7C

State the roots of the polynomial: x³ - 4x² - 45x.

• 0, 9, 5

• 0, 9, -5

• 0, -9, 5

• 0, -9, -5

Tags

CCSS.HSF-IF.C.7C

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3

• ±1, 7

• ±1, ±3, ±7, ±7/3

• ±1, ±3, ±7, ±1/3, ±7/3

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3

• -1, 3/2, 3 

• -1/2, 3, 3

• -1/2, 1, 3

Tags

CCSS.HSF-IF.C.7C

Solve by using Rational Root Theorem: 
x³ - 7x - 6 = 0

• 1, 2, 3

• -1, -2, - 3

• -1, -2, 3

• 1,-2,-3

Tags

CCSS.HSA.APR.B.2

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2

• ±1,±3,±9

• ±1,±3±9,±1/2,±3/2,±9/2

• ±1,±2,±1/3,±2/3,±1/9,±2/9

Solve by using Rational Root Theorem: 
x³ + 3x² - 6x - 8 = 0

•  -4, -1, 2

• -4, -1, ±√2

• 1, 2, 4

• 4,-1,√2

Tags

CCSS.HSF-IF.C.7C