Rational Zero Theorem and Remainder Theorem

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ - 7x² + 2x + 40

• 8

• 2

• 5

• 40

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. 

Solve by using Rational Root Theorem: 
x³ - 7x - 6 = 0

• 1, 2, 3

• -1, -2, - 3

• -1, -2, 3

• 1,-2,-3

Identify the missing term to complete the solution.

• -2

• 2

• -3

• 3

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ - 8x² - 23x + 30

• 3

• -1

• -10

• 1

Solve by using Rational Root Theorem to find the actual zeros: 
x³ + 3x² - 6x - 8 = 0

•  -4, -1, 2

• -4, -1, ±√2

• 1, 2, 4

• 4,-1,√2

When using the Rational Zero Theorem, which letter is used to represent the factors of the leading coefficient?

• p

• q

• r

• s

When using the Rational Zero Theorem, what letter is used to represent the factors of the constant term?

• q

• p

• r

• s

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