CPM Homework Help : PC3 Problem 7-49

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7-49.

If $f(x)=3x^2+5x-2$ , show that:

$f(x+2)=3x^2+17x+20$
Step (a):
$f(x+2)=3(x+2)^2+5(x+2)-2$

$f(x+h)=3x^2+x(6h+5)+(3h^2+5h-2)$
Hint (b):
Substitute $(x+h)$ for every $x$ in $f(x)$ .

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