Polynomials review

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

• ±1, ±8
• ±1, ±2, ±4, ±8
• ±1, ±2, ±4
• 1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ + 2x² - 11x - 12

• -3

• -4

• 1

• 6

Tags

CCSS.HSF-IF.C.7C

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

• Yes
• No

The maximum value is...

• -1.5
• 0.35
• 1.5
• -3.9

Tags

CCSS.HSA.APR.B.3

The function is decreasing when...

• (-1.5, 1.5)
• (-∞, -1.5)
• (1.5, ∞)
• (-1.5, 2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(x) < 0 for x-values between...

• -2 and 0
• -2 and -1
• -1 and 3
  
• -1.5 and 1.5

What are the local maxima of this graph?

• local maximum at (2.2, 3.9)
• local maximum at (-8, 5)
• local maximum at (5, -8)⋃(3.9, 2.2)
• local maximum at (-8, 5)⋃(2.2, 3.9)

When is this function increasing?

• −2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• −5 < x < 0

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None