Subtract \$(5p^3 + 2p^2 − 3p + 7)\$ from \$(2p^3 − p^2 + 4p − 1)\$.

A) \$ 7p^3 + 3p^2 - 7p - 8\$

B) \$ 3p^3 + 3p^2 - 7p - 8\$

C) \$ 7p^3 + 7p^2 - 7p + 8\$

D) \$ 3p^3 + 3p^2 - 7p + 8\$

If \$4y^3 +10y^2 - 5y + 4\$ is multiplied by 3. 5y - 5, what is the coefficient of \$y^2\$ in the resulting polynomial?

A) 67.5

B) 76.5

C) -67.5

D) -76.5

\$(6x^2 + 19x + 10)/(2x + 5)\$
If ax + b represents the simplified form of the expression shown, then what is the value of a + b?

A) 2

B) 3

C) 5

D) 6

Using synthetic division, determine the remainder when the polynomial \$ 2x^5 - 3x^4 + x^3 − 4x^2 + 3x − 1 \$ is divided by the binomial \$x − 2\$.

A) 7

B) 14

C) 13

D) 6

Add \$3( 4 (x^3) - 2x^2 + 5x - 3)\$ and \$2( 3x^2) - 6(2x^3) - x + 7\$.

A) 14x - 2

B) \$12x^3 - 12x^2 - 14x -2\$

C) 14x + 2

D) \$12x^3 + 12x^2 +14x +2\$