Evaluate the Function h(x)=x^5-4x^3+3x^2+11x-8 , x=7

$h (x) = x^{5} - 4 x^{3} + 3 x^{2} + 11 x - 8$ , $x = 7$

Replace the variable $x$ with $7$ in the expression.

$h (7) = {(7)}^{5} - 4 {(7)}^{3} + 3 {(7)}^{2} + 11 (7) - 8$

Simplify the result.

Simplify each term.

Raise $7$ to the power of $5$ .

$h (7) = 16807 - 4 {(7)}^{3} + 3 {(7)}^{2} + 11 (7) - 8$

Raise $7$ to the power of $3$ .

$h (7) = 16807 - 4 \cdot 343 + 3 {(7)}^{2} + 11 (7) - 8$

Multiply $- 4$ by $343$ .

$h (7) = 16807 - 1372 + 3 {(7)}^{2} + 11 (7) - 8$

Raise $7$ to the power of $2$ .

$h (7) = 16807 - 1372 + 3 \cdot 49 + 11 (7) - 8$

Multiply $3$ by $49$ .

$h (7) = 16807 - 1372 + 147 + 11 (7) - 8$

Multiply $11$ by $7$ .

$h (7) = 16807 - 1372 + 147 + 77 - 8$

Simplify by adding and subtracting.

Subtract $1372$ from $16807$ .

$h (7) = 15435 + 147 + 77 - 8$

Add $15435$ and $147$ .

$h (7) = 15582 + 77 - 8$

Add $15582$ and $77$ .

$h (7) = 15659 - 8$

Subtract $8$ from $15659$ .

$h (7) = 15651$

The final answer is $15651$ .

$15651$