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.

SCZ

SmartCookiezZ Sep 4, 2021

#1**+3 **

g(x) is of degree 3.

For example, if g(x) = x^{3}, then (x^{2} - 7x + 10)(x^{3}} = x^{5} - 7x^{4} + 10x^{3}; 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.

geno3141 Sep 4, 2021