Evaluate the polynomial function.
-If $f ( x ) = x ^ { 2 } - 5 x + 7$, find $f ( a + h )$.
A) $a ^ { 2 } + h ^ { 2 } - 5 a - 5 h + 14$
B) $a ^ { 2 } + h ^ { 2 } - 5 a - 5 h + 7$
C) $a ^ { 2 } + 2 a h + h ^ { 2 } - 5 a - 5 h + 7$
D) $a ^ { 2 } + a h + h ^ { 2 } - 5 a - 5 h - 5$

Question

Quizplus · Accepted Answer

To find $f(a + h)$, substitute $a + h$ for $x$ in the given polynomial: $f(a + h) = (a + h)^2 - 5(a + h) + 7$. Expanding $(a + h)^2$ gives $a^2 + 2ah + h^2$, and distributing $-5$ gives $-5a - 5h$. Adding $7$ results in $a^2 + 2ah + h^2 - 5a - 5h + 7$.

Evaluate the Polynomial Function f(x)=x2−5x+7f ( x ) = x ^ { 2 } - 5 x + 7f(x)=x2−5x+7

Evaluate the Polynomial Function $f ( x ) = x ^ { 2 } - 5 x + 7$