Determine whether the function is a polynomial function If i

Determine whether the function is a polynomial function. If it is: state the degree. If it is not tell why not. G(x) = 8(x-6)^2 (x^2 + 4) Choose the correct answer below. Polynomial of degree 4 Polynomial of degree 8 Not a polynomial since not all of the coefficients of G(x) are nonnegative integers Not a polynomial since G(x)is not of the form

Solution

here g(x)=8(x-6)²(x²+4)

=8(x²-12x+36)(x²+4)

=8{x²(x²-12x+36)+4(x²-12x+36)}

=8(x⁴-12x³+36x²+4x²-48x+144)

=8(x⁴-12x³+40x²-48x+144)

=8x⁴-96x³+320x²-384x+1152

A is correct

it is a polynomial of degree 4