1. Which of the following is NOT a polynomial?

A. 3x-5 C. 10x-5 +x3-4x +1

B. x3-5x2 +2x -4 D. 7 + 3x-x7


2. The degree of the polynomial function defined by P (x) = 2xn -1 + 3x2n -3xn -9 when

n = 4.

A. four B. five C. seven D. eight


3. What is the value of k so that x-2 is a factor of x3 +7x2 + kx – 40.

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


4. What is the remainder if P(x) = 2x4 -3x2 + 3x + 1 is divided by (x + 2)?

A. 3 B. 8 C.12 D. 15


5. If P(x) = 2x3 -kx2 + x +1 is divided by x-2, then what is the remainder?

A. 4 B. 5 C. 6 D. 7


6. Using synthetic division, what is the remainder of P(x) = 3x3 -11x2 -1 if

the divisor is x-3?

A. -24 B. -19 C. -11

D. 20


7. Find the value of m for which the binomial (x-1) is a factor of x4 +mx3 -4x2.

A. 7 B. 5 C. 3 D. 1


8. What is the remainder when 4x500 -3x250 -2x125 + 2x84 – 5 is divided by x –

1?

A.-10 B. -4 C. 4 D. 10


9. If x – 5 is a factor of the polynomial x3 -19x -30 = 0, the other two factors

are:

A. (x + 2) and (x + 1) C. (x + 3) and (x + 1)

B. (x + 2) and (x + 3) D. (x + 3) and (x + 10)


10. When the polynomial 3x2-4x + 5 is divided by the linear expression x-3, the

remainder is ______.

A. 5 B. 10 C. 20 D. 25


11. If P(x) = 5x4 -3x2 – 2, P(3) is equal to

A. -6 B. 6 C. 270 D. 376


12. The value of q that will make q + 2 a factor of 3x3 +5x2 + qx – 10.

A. 7 B. 6 C. -5 D. -7


13. The value of b that will make x + 3 a factor of bx3 +3x2 -2bx- 6.

A. -4 B. -1 C. 1 D. 4​