Find the missing value such that the given binomial is a factor of the given polynomial.
-$$x ^ { 2 } + 15 x + ? , x + 3$$
A) 12
B) 36
C) 3
D) 15

Question

Quizplus · Accepted Answer

Using the factor theorem, we know that the missing value must be $(	ext{-}3)\cdot(	ext{-}3)=9$, since $x + 3$ is a factor of the polynomial. Then, by multiplying $(x+3)$ and $(x^2+15x+9)$, we get $x^3+18x^2+72x+27$, which confirms that $(x+3)$ is indeed a factor of $x^2+15x+36$. Therefore, the missing value is 36, making the answer choice B correct.

Find the Missing Value Such That the Given Binomial Is x2+15x+?,x+3x ^ { 2 } + 15 x + ? , x + 3x2+15x+?,x+3

Find the Missing Value Such That the Given Binomial Is $x ^ { 2 } + 15 x + ? , x + 3$