1.What is the remainder if x2 – 7x – 4 is divided by x – 2?

A) -14 B) -2 C) 2 D) 4

2. Which of the following statements is true?

A) If you multiply the quotient and the remainder, it is equal to the dividend.

B) If x2 + 5x + 7 is divided by x + 2, the remainder is not 1.

C) If the remainder is 0, then the dividend is a factor of the divisor.

D) The quotient is a factor of the dividend if the remainder is 0.

3. What is the remainder if 2x3 + 4x2 – x + 7 is divided by x – 2?

A) 35 B) 36 C) 37 D) 38

4. Given P(x) = x4 – 3x3 – x +3, which of the following is its factors?

A) x + 2 B) x + 3 C) x + 4 D) x + 5

5. Find another factor of x3 – 7x2 + 4x – 28 if x – 7 is a factor.

A) x2 + x + 4 B) x2 – 2x – 4 C) x2 – x – 4 D) x2 + 4

6. Determine which of the following binomials is a factor of P(x) = x3 -7x + 5.

A) x – 1 B) x + 1 C) x + 2 D) none of these

7. Which is the missing factor in the equation x2 – 4 = (x – 2) (_____)?

A) x – 2 B) x + 2 C) x + 4 D) x – 4

8. What are the factors of x2 – 2x – 24?

A) (x + 4) (x – 6) B) (x -8) (x + 3)

C) (x -12) (x + 1) D) (x + 12) (x – 12)

9. What is the remainder when x3 – 4x2 + x + 8 is divided by x – 2?

A) 1 B) 2 C) 3 D) 4

10. When P(x) is divided by x – r and is equal to 0, it means that _____.

A) x – r is a factor of P(x) B) P(x) is not a factor of x – r

C) P(x) is a factor of x – r D) x- r is the only factor of P(x)

11. Which of the following is a factor of 2x2 – 5x + 3?

A) x – 3 B) 2x + 3 C) x – 1 D) 3x + 2

12. Find k so that (x – 2) is a factor of x3 + kx – 4.

A) -3 B) -2 C) -1 D) 0​