Perform the division. $\left( x ^ { 2 } + 19 x + 90 \right) \div ( x + 9 )$
A) $x + 19 + \frac { 9 } { x + 9 } , x \neq - 9$
B) $x + 9 , x \neq 9$
C) $x + \frac { 90 } { x + 9 } , x \neq - 9$
D) $x - 1 + \frac { 100 } { x + 9 } , x \neq 9$
E) $x + 10 , x \neq - 9$

Question

Quizplus · Accepted Answer

To divide $(x^2 + 19x + 90)$ by $(x + 9)$, we can use polynomial long division or synthetic division. Factoring the numerator gives $(x + 10)(x + 9)$. Dividing $(x + 10)(x + 9)$ by $(x + 9)$ cancels out the $(x + 9)$ term, leaving $x + 10$ as the quotient.

Perform the Division (x2+19x+90)÷(x+9)\left( x ^ { 2 } + 19 x + 90 \right) \div ( x + 9 )(x2+19x+90)÷(x+9)

Perform the Division $\left( x ^ { 2 } + 19 x + 90 \right) \div ( x + 9 )$