# How do you evaluate f(x)=7x^3+9x^2+3x at x=10 using direct substitution and synthetic division?

Sep 11, 2016

$7930$

#### Explanation:

We have: $f \left(x\right) = 7 {x}^{3} + 9 {x}^{2} + 3 x$; $x = 10$

Let's substitute $10$ in place of $x$:

$\implies f \left(10\right) = 7 {\left(10\right)}^{3} + 9 {\left(10\right)}^{2} + 3 \left(10\right)$

$\implies f \left(10\right) = 7 \cdot 1000 + 9 \cdot 100 + 30$

$\implies f \left(10\right) = 7000 + 900 + 30$

$\implies f \left(10\right) = 7930$