Polynomials and Theorems About Polynomials

According to the Rational Root Theorem, what are the all possible rational roots? 
x³ - 7x - 6 = 0

• ±1,±2,±3
• ±1,±7
• ±1,±2,±3±6
• ±1,±2,±3,±6±7

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

Use the Remainder Theorem to find the remainder for the division problem:
(x³-2x²+6x-6)÷(x-3)

• 21
• 9
• -33
• 0

Use the Remainder Theorem to evaluate the following, (3x³-x-7) at x=2

• -29
• 9
• 15
• -27

Is (x-1) a factor of (x³-1)?
Hint: Use the Factor Theorem or Synthetic/Long Division

• Yes
• No

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

• A
• B
• C
• D

Descartes' Rule of Signs is helpful is solving what kind of equation?

• rational
• exponential
• logarithmic
• polynomial

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

• A
• B
• C
• D

The largest exponent determines the degree of the polynomial.

• True
• False