Find the Roots

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

Solve by using Rational Root Theorem:
x⁴ - x³ + 2x² - 4x - 8 = 0

• -1, 2, ±2

• -1, 2, ±2i

• 1, -2, 4

• 1, 2, 2i

If f(x) = 2x³-13x²+36, is x = 6 an x-intercept?

• No, because f(6) = 30

• Yes, because f(6) = 0

• Yes, because f(6) = 30

• No, because f(6) = 0

Tags

CCSS.HSF-IF.C.7C

Let f(x) = 4x² -33x -27.  Is k = 9 a zero of the function?

• yes

• no

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

• yes

• no

Tags

CCSS.HSF-IF.C.7C

Let f(x) = 4x^2 -33x -27.  Is k = 9 a zero of the function?

• yes

• no

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

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, ±5, ±1/2, ±5/2

• ±1, ±2, ±5, ±1/2, ±5/2

• ±1, ±5

• ±1, ±2, ±5, ±1/2, ±5/2, ±2/5

Tags

CCSS.HSA.APR.B.2

Which best describes the multiplicity of a root?

• It is the number of times the corresponding factor is repeated

• It is the highest degree of the polynomial

• It is the number of times x is multiplied by itself

• It is the number of x-intercepts on a graph

Tags

CCSS.HSF-IF.C.7C