Evaluate the Function f(x)=x^4+6x^2-7x+1 for x=3

$f (x) = x^{4} + 6 x^{2} - 7 x + 1$ for $x = 3$

Step 1

Replace the variable $x$ with $3$ in the expression.

$f (3) = {(3)}^{4} + 6 {(3)}^{2} - 7 \cdot 3 + 1$

Step 2

Simplify the result.

Simplify each term.

Raise $3$ to the power of $4$ .

$f (3) = 81 + 6 {(3)}^{2} - 7 \cdot 3 + 1$

Raise $3$ to the power of $2$ .

$f (3) = 81 + 6 \cdot 9 - 7 \cdot 3 + 1$

Multiply $6$ by $9$ .

$f (3) = 81 + 54 - 7 \cdot 3 + 1$

Multiply $- 7$ by $3$ .

$f (3) = 81 + 54 - 21 + 1$

Simplify by adding and subtracting.

Add $81$ and $54$ .

$f (3) = 135 - 21 + 1$

Subtract $21$ from $135$ .

$f (3) = 114 + 1$

Add $114$ and $1$ .

$f (3) = 115$

The final answer is $115$ .

$115$

Step 3