Question

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

Answer 1

`7930`

Explanation:

We have: `f(x) = 7 x^(3) + 9 x^(2) + 3 x`; `x = 10`

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

`=> f(10) = 7 (10)^(3) + 9 (10)^(2) + 3 (10)`

`=> f(10) = 7 cdot 1000 + 9 cdot 100 + 30`

`=> f(10) = 7000 + 900 + 30`

`=> f(10) = 7930`