Evaluate Using the Given Value 8x^3+15x^2-7x-5 at x=1

$8 x^{3} + 15 x^{2} - 7 x - 5$ at $x = 1$

Step 1

Replace the variable $x$ with $1$ in the expression.

$8 {(1)}^{3} + 15 {(1)}^{2} - 7 \cdot 1 - 5$

Step 2

Simplify each term.

One to any power is one.

$8 \cdot 1 + 15 {(1)}^{2} - 7 \cdot 1 - 5$

Multiply $8$ by $1$ .

$8 + 15 {(1)}^{2} - 7 \cdot 1 - 5$

One to any power is one.

$8 + 15 \cdot 1 - 7 \cdot 1 - 5$

Multiply $15$ by $1$ .

$8 + 15 - 7 \cdot 1 - 5$

Multiply $- 7$ by $1$ .

$8 + 15 - 7 - 5$

Step 3

Simplify by adding and subtracting.

Add $8$ and $15$ .

$23 - 7 - 5$

Subtract $7$ from $23$ .

$16 - 5$

Subtract $5$ from $16$ .

$11$