Algebra 2 Rational Root Theorem, Remainder Theorem, Factor Theorem, Descartes Rule of Signs and Fundamental Theorem of A

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

Tags

CCSS.HSA.APR.B.2

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

Multiply:
(3x – 1)(x + 5) 

• 3x² + 4x + 5

• 3x² + 4x - 5

• 3x² + 14x + 5

• 3x² + 14x - 5

Tags

CCSS.HSA.APR.A.1

Factor
a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

Factor Completely: 4x² - 20x + 25

• (4x - 25) (x -1)

• (2x + 5) (2x - 5)

• (2x - 5)²

• (4x - 5) (x - 5)

Tags

CCSS.HSA.APR.C.4

Which root has a multiplicity of two?

• -2

• 0

• 2

Is (x+3) a factor of the polynomial above?

• yes

• no

Tags

CCSS.HSA.APR.B.2

• yes

• no

Tags

CCSS.HSA.APR.B.2

Factor:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4