Let h be a polynomial of degree 5, and suppose that \(h(x) = (x^2-7x+10) \cdot g(x)\), where g(x) is a polynomial of degree b. Find b.
g(x) is of degree 3.
For example, if g(x) = x3, then (x2 - 7x + 10)(x3} = x5 - 7x4 + 10x3; a ploynomial of degree 5.
If g(x) has a degree larger than 3, h(x) will have a degree larger than 5.
If g(x) has a degree smaller than 3, h(x) will have a degree smaller than 5.