Suppose that $f(x)$ and $g(x)$ are given by the power series
$f(x) = 3 + 5 x + 3 x^2 + 5 x^3 + \cdots$
and
$g(x) = 7 + 6 x + 2 x^2 + 4 x^3 + \cdots .$
By multiplying power series, find the first few terms of the series for the product
$h(x)=f(x)\cdot g(x) = c_0+c_1 x +c_2 x^2 + c_3 x^3 + \cdots.$


$c_0$ =

$c_1$ =

$c_2$ =

$c_3$ =