R.R.T. Chapter Review

Use the Remainder Theorem to evaluate. If p(x) = 3x⁴ + 2x² - 5x + 1 , find p(3).

• 202

• -23

• -218

• 247

Use synthetic division to find the remainder of x³ + 2x² - 4x + 3 for the factor (x - 3).

• -4

• 12

• 36

• 42

List all the possible rational zeros of the function using Rational Roots Theorem: f(x)= 3x³ + 9x² + 2x - 9

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• 
• 
• 

Based on the Rational Roots Theorem, which of the following is NOT one of the possible rational factors of 5x³ - 2x² + 20x - 8?

• -8

• 4/5

• -2/5

• 3/5

Find all the solutions of the polynomial equation: x⁴ - 3x³ + 3x² - 3x + 2 = 0.

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(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13
• 2x³ + 4x² +3x - 1
• 2x² - 4x + 3 - 13/x-2
• 2x² + 4x + 3 - 1/x-2

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

• 3   0   -4   6   1
• 6   -4   3   1   0
• 6   -4   0   3   1
• -6   4   0   -3   -1

Tags

CCSS.HSA.APR.D.6

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0
• 2
• 4
• 6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

            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. 

Tags

CCSS.HSA.APR.B.2