Exam Review Pre-Cal: Polynomials

Which function has this end behavior?
Note: f(x)=y

• -x²-3x+1
• -x³+2x²+3
• x⁴+3x³-4x+1
• x⁵-4x⁴+2x²-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function has this end behavior?
Note: f(x)=y

• -1x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the end behavior of the graph of 
f(x) = 3x⁴ + 2x - 5
Note: f(x)=y

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →-∞.
• As x →∞, f(x) →∞.
  As x→-∞, f(x) →∞.
• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →∞.
• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →-∞.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

List all the possible rational zeros 
h(x) = x³ - 5x²+2x+12

• 1,2,3,4,6,12
• 1,2,6,12
• 1,2,3,4,6,12,-1,-2,-3,-4,-6,-12

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

Tags

CCSS.HSA.APR.B.3

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

Use synthetic division to find P(5)

p(x) = x³ - 5x² + 2x - 10

• 0

• -10

• -2x-10

• 2

How many solutions does the polynomial have?

• 2
• 3
• 4
• 5

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What are the solutions?

• x = 0, 2, 4
• x = 0, -2, -4, 4
• x = 0, 2, -2, 4
• x = 2, -2, 4

Tags

CCSS.HSF-IF.C.7C

State the zeros of the polynomial (include multiplicity):
f(x) = (x+3)²(x - 2)

• x = 3 and x = -2
• x = -3 (multiplicity of 2) and x = 2
• x = -3 and 2
• x = 3 (multiplicity of 2) and x = 2