Review Quiz #8 - Algebra 2

Q. Which of the following is a COMPLETE  list of all possible Rational Zeros?

f(x) = x³ + 2x² - 6x + 8

• ±1, ±8

• ±1, ±2, ±4

• ±1, ±2, ±4, ±8

• 1, 2, 4, 8

Q. 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, ±3, ±7, ±7/3

• ±1, 7

• ±1, ±3, ±7, ±1/3, ±7/3

Q. 

Which of the following is a COMPLETE  list of all possible Rational Zeros?

f(x) = 2x³ + 5x² - 9x + 5

• ±1, ±5

• ±1, ±5, ±1/2, ±5/2

• ±1, ±2, ±5, ±1/2, ±5/2

• ±1, ±2, ±5, ±1/2, ±5/2, ±2/5

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

• Yes, (x-2) is a factor. There is a remainder.

• Yes, (x-2) is a factor. The remainder is zero.

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

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

What is the remainder when x³ - 4 is divided by x + 2?

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

yes or no

 

Is (x-4) a factor of (x³ + x² - 16x - 16)?

yes or no

Write the simplest polynomial in standard form given the following zeros. x = -2, 1, 4

What is the remainder of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

What is the remainder when (5x²⁰ – 19) is divided by (x ─ 1)?