17. What is the remainder when x4 - 3x² + x - 2 is divided by x + 1? a. -6
b. -5
C. -4
D. -3
18. Aside from the (x-2) and (x + 1), what is the other factor of the polynomial x + 2x2 - 5x - 6?
A. (x-1)
B. (x-2)
C. (x-3)
D. (x+3)
19. What is the common factor of a polynomial 5x4 + 10x + 15x?
A. 5x
B. 5x2
C.5x3
D.5x4
20. Find the factors of x2 + 18x + 81.
a. (x + 27)(x + 3)
b. (x + 9) (x + 9)
c. (x-27)(x-3)
d. (X-9)(x-9)
For items 21-22, find the roots of the given polynomial equation.
21.) x - 2 = 0
a. -1
b.0
C. 1
d.2
22.) x(x - 4) = 0
a. 0,4
b. 1,4
c. 0-4
d. 1,-4
23.) The remainder after dividing (-10x3 + 5x2 + K) by (x + 1) is 4. Which of the following is the value of K?
A. -19
B. -11
c.9
d. 19
24.) Given P(x) = 3x + x2 - 4x + 2. What is the value of P(3)?
a. -80
b.-58
C. 80
D. 81
25. Find a cubic polynomial equation with roots -2,2, and 4.
A. x2 + 4x2 - 4x + 16=0
b. x - 4x² – x + 16=0
c. 10x x² – x + 16 = 0
d. x - 4x² - 4x + 16 = 0
b. -5
C. -4
D. -3
18. Aside from the (x-2) and (x + 1), what is the other factor of the polynomial x + 2x2 - 5x - 6?
A. (x-1)
B. (x-2)
C. (x-3)
D. (x+3)
19. What is the common factor of a polynomial 5x4 + 10x + 15x?
A. 5x
B. 5x2
C.5x3
D.5x4
20. Find the factors of x2 + 18x + 81.
a. (x + 27)(x + 3)
b. (x + 9) (x + 9)
c. (x-27)(x-3)
d. (X-9)(x-9)
For items 21-22, find the roots of the given polynomial equation.
21.) x - 2 = 0
a. -1
b.0
C. 1
d.2
22.) x(x - 4) = 0
a. 0,4
b. 1,4
c. 0-4
d. 1,-4
23.) The remainder after dividing (-10x3 + 5x2 + K) by (x + 1) is 4. Which of the following is the value of K?
A. -19
B. -11
c.9
d. 19
24.) Given P(x) = 3x + x2 - 4x + 2. What is the value of P(3)?
a. -80
b.-58
C. 80
D. 81
25. Find a cubic polynomial equation with roots -2,2, and 4.
A. x2 + 4x2 - 4x + 16=0
b. x - 4x² – x + 16=0
c. 10x x² – x + 16 = 0
d. x - 4x² - 4x + 16 = 0
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