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

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Answer 1 · 2016-09-11T09:37:43

$7930$

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

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

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

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

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

$=> f(10) = 7930$

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