Choose the polynomial that has the given factor.
-x - 5
A) $x ^ { 2 } + 4 x - 45$
B) $x ^ { 2 } - 14 x + 45$
C) $x ^ { 2 } + 4 x + 45$
D) $x ^ { 2 } + 14 x + 45$

Question

Choose the polynomial that has the given factor.
-x - 5 
A) $x ^ { 2 } + 4 x - 45$
B) $x ^ { 2 } - 14 x + 45$
C) $x ^ { 2 } + 4 x + 45$
D) $x ^ { 2 } + 14 x + 45$

Quizplus · Accepted Answer

If $x - 5$ is a factor of a polynomial, when we substitute $x = 5$ into the polynomial, it should result in zero. Option A, $x^2 + 4x - 45$, becomes $5^2 + 4(5) - 45 = 25 + 20 - 45 = 0$ when $x = 5$, confirming it has $x - 5$ as a factor.

Choose the Polynomial That Has the Given Factor x2+4x−45x ^ { 2 } + 4 x - 45x2+4x−45

Choose the Polynomial That Has the Given Factor $x ^ { 2 } + 4 x - 45$