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
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my answer:
1. b
2. b
3. a
4. c
5. d
6. d
7. b
8. c
9. c
10. c
11. a
my Explanation:
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Answer:
1.C
2.B
3.B
4.D
5.A
6.C
7.B
8.C
9.C
10.A
11.D
12.A or D
Step-by-step explanation:
I hope it helps