If the polynomials f(x) are evenly divisible by x + 5 and the polynomials g(x) = f(x) - 8, what is the value of g(2)?

A) - 8

B) - 5

C) - 3

D) - 6

Which of the following is equivalent to \$ (5x^3 - 2x^2 + 4x + 7)/ (x - 4)\$.

A) \$ 5x^2 + 18x + 16 + 311/(x - 4) \$

B) \$ 5x^2 + 18x + 76 + 311/(x - 4) \$

C) \$ 5x^2 + 18x + 76 + 271/(x - 4) \$

D) \$ 5x^2 + 18x + 76 + 231/(x - 4) \$

Find the quotient and remainder when \$ 2x^4 − 5x^3 + 3x^2 - 2x + 1 \$ is divided by x + 2.

A) \$ 2x^3 - 19x^2 + 21x - 44 \$ and 87

B) \$ 2x^3 - 9x^2 + 21x - 44 \$ and 88

C) \$ 2x^3 - 9x^2 + 11x - 44 \$ and 89

D) \$ 2x^3 - 9x^2 + 21x - 34 \$ and 90

Let’s divide \$(2x^3 + 4x^2 + x + 6) \$ by \$(x + 2)\$.

A) \$ 2x^2 + 5 + 4/(x + 2) \$

B) \$ 2x^2 + 1 + 9/(x + 2) \$

C) \$ 2x^2 + 1 + 3/(x + 2) \$

D) \$ 2x^2 + 1 + 4/(x + 2) \$

Divide the polynomial \$ 4x^4 - 5x^3 + 3x^2 - 6x + 9 \$ by \$ 2x - 3 \$.

A) \$ 2x^3 + (3x^2/2) + (9x/4) + (3/8) + (81/8(2x - 3)) \$

B) \$ 2x^3 + (x^2/2) + (7x/4) + (3/8) + (81/8(2x - 3)) \$

C) \$ 2x^3 + (x^2/2) + (9x/4) + (1/8) + (81/8(2x - 3)) \$

D) \$ 2x^3 + (x^2/2) + (9x/4) + (3/8) + (81/8(2x - 3)) \$

Solve the following polynomials \$ (2x^3 + 5x^2 - 3x + 7)/(x + 2) \$.

A) \$ 2x^2 + 3x - 5 + (2x -17)/(x + 2) \$

B) \$ 2x^2 + x - 5 + 23/(x + 2) \$

C) \$ 2x^2 + x - 5 + 17/(x + 2) \$

D) \$ 2x^2 + 5x - 3 + 17/(x - 2) \$

Find the remainder of the polynomial \$(3x^4 + 2x^3 - 5x^2 + 6x - 1)/(x^2 - 2x + 3)\$.

A) 4x - 6

B) - 14x - 7

C) 16x + 7

D) 9x - 7

\$ (2x^3 + 5x^2 - 3x + 7)/(x + 2) \$
If \$ax^2 + bx + c\$ represents the Quotient of the expression shown, then what is the value of a - b?

A) 1

B) 3

C) 2

D) 5

Let p(x) be a polynomial that is evenly divisible by \$(x − 2)^2\$, and let q(x) = p(x) − 5. Find the value of q(2).

A) - 25

B) - 5

C) 25

D) - 3

Which of the following is equivalent to \$ (2x^2 - 7x - 15)/ (x - 5) \$.

A) \$ 3/2\$

B) 3x + 2

C) 2x + 3

D) \$ 2/3\$