Question

If $f\left(x\right)=2x^3+3x^2-11x+6$, find $f\left(2\right)$

Answer 1

In the given polynomial $f\left(x\right)=2x^3+3x^2-11x+6$, substitute $x=2$ as shown below:

$f\left(2\right)=(2\times 2^3)+(3\times 2^2)-(11\times 2)+6=(2\times 8)+(3\times 4)-22+6=16+12-22+6=34-22=12$

Hence, $f\left(2\right)=12$.