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Sarah Byom and Samantha Kingery
*Multiple Choice Questions
*1. Divide using synthetic division:X3-5x2+3x
X+1
A. x2-6x+9+ -11/x+1 B. x2-4x+1
C. x2+6x+3 D. x2-6x+3+-11/x+1
*Answer:
A.
*2. Divide using synthetic division:9x3+7x2-3x
X-10
A. 9x3+97x+967-9670/x-10
B. 9x2+97x+967+9670/x-10
C. 3x2-97x-9676
D. 3x2-97x+9670
*Answer:
B.
*3. Use the remainder theorem to find the remainder when f(x) is divided by
x-k.f(x)=2x2-3x+1; k+2
A. 15 B. 9
C. 18 D. 3
*Answer:
D.
*4. Use the remainder theorem to find the remainder when f(x) is divided by
x-k.f(x)=x3-x2+2x-1; k=-3
A. 41 B. -43
C. -46 D. -32
*Answer:
B.
*5. Use the factor theorem to determine whether the first
polynomial is a factor of the second polynomial.
X-1; f(x)=x3-x2+x-1
A. No solution B. no
C. yes D. 0
*Answer:
C.
*6. Use the factor theorem to determine whether the first
polynomial is a factor of the second polynomial.
X-2; f(x)=x3+3x-4
A. No solution B. no
C. yes D. 0
*Answer:
B.
*7. What is 5x4-3x+1 divided by 4-x?
A. -5x3-20x2-80x-317+-1269/4-x
B. 5x3+20x2+80x+317-1296/4-x
C. 15x2-40x-228-1193/4-x
D. 25x3-3x2+45x-1274
*Answer:
A.
*8. What is the remainder of f(x)=2x3-3x2+4x-7; k=2
A. 20 B. 2
C. 10 D. 5
*Answer:
D.
*9. Find the real zeros of the function. Identify as rational or irrational.
f(x)=2x3-3x2-4x+6
A. Rational zero: 3/2 Irrational zeros:+/- 2
B. Rational zero: none Irrational zeros: none
C. Rational zeros: 2 & 3 Irrational zero: 3/2
D. Rational zeros: 3/2 Irrational zeros: none
*Answer:
A.
*10. Find the real zeros of the function. Identify as rational or irrational.
f(x)=2x4-7x3-2x2-7x-4
A. Rational zero: 1/2 Irrational zeros: 1
B. Rational zero: 1 Irrational zeros: none
C. Rational zeros: 2 & 4 Irrational zero: 3/2
D. Rational zeros: -1/2 & 4 Irrational zeros: none
*Answer:
D.