let f(x)= (8x^2-4)^3(3x^2-4)^14

Answer 1

f(x)= (8x-4)^3(3x-4)^14

has degree, leading coefficient and constant term equal as follows:

multiply the two factors together and you get a polynomial of degree = 2^3 times 2^14 = 2^17

the leading term's coefficient = 8^3 times 3^14

and a constant term will = (-4)^3 times (-4)^14 = (-4)^17 = -4^17

if you set f(x) = 0 and solved for x you'd get x- 1/2 and x = 4/3, two solutions