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.