Question: Let f, g, and h be polynomials such that: \(h(x) = f(x)\cdot g(x)\) If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)? an help appreciated!
why not simplify the problem and let the 2 polynomials both be linear
m,n are both non zero and real.
\(f(x) = mx-4\\ g(x)= nx+k\\ \\~\\ h(x)= (mx-4)(nx+k) = ( some\; number)x^2 + ( some \;number )x -4k\\ but\\ -4k=3\\ so\\ k=-\frac{3}{4}\)
So g(0) = -3/4
