Rational Zero Theorem and Remainder Theorem

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

• YES

• NO

Find all the real zeros of the function f(x) = 2x³ - 19x² + 38x + 24 given that (x-4) is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -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. 

Use the Rational Root Theorem to list the possible rational zeros.

• A

• B

• C

• D

List all the possible rational zeros for

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• 
• 
• 

Use the Rational Root Theorem to list the possible rational zeros.

• A

• B

• C

• D

List all the possible rational zeros for

• 
• 
• 
• 

List the ACTUAL rational zeros of

f(x) = x³ + 7x² - 2x -14 ?

• 7, 2

• 7

• - 7

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) = x³ + 2x² - 6x + 8

• ±1, ±8

• ±1, ±2, ±4, ±8

• ±1, ±2, ±4

• 1, 2, 4, 8