Evaluate the function.
-If $p ( x ) = 4 x ^ { 2 } + 3 x - 1$, find $p \left( - \frac { a ^ { 2 } } { 4 } \right)$
A) $- a ^ { 4 } - 3 a ^ { 2 } - \frac { 1 } { 4 }$
B) $a ^ { 4 } - \frac { 3 a ^ { 2 } } { 4 } - 1$
C) $\frac { a ^ { 4 } } { 4 } - \frac { 3 a ^ { 2 } } { 4 } - 1$
D) $\frac { - a ^ { 4 } - 3 a ^ { 2 } - 1 } { 4 }$

Question

Quizplus · Accepted Answer

To find $p\left(-\frac{a^2}{4}\right)$, substitute $-\frac{a^2}{4}$ for $x$ in the given function: $p(x) = 4x^2 + 3x - 1$. This results in $p\left(-\frac{a^2}{4}\right) = 4\left(-\frac{a^2}{4}\right)^2 + 3\left(-\frac{a^2}{4}\right) - 1$, which simplifies to $\frac{a^4}{4} - \frac{3a^2}{4} - 1$.

Evaluate the Function p(x)=4x2+3x−1p ( x ) = 4 x ^ { 2 } + 3 x - 1p(x)=4x2+3x−1

Evaluate the Function $p ( x ) = 4 x ^ { 2 } + 3 x - 1$