Answer: 4x^3 - x^2 - 20x + 5
Explanation:
The given functions are
g(x) = 4x - 1
h(x) = x^2 - 5
We want to determine g(x).h(x)
We do this by multiplying g(x) by h(x). It becomes
g(x).h(x) = (4x - 1)(x^2 - 5)
We will expand the bracket by multiplying each term in the bracket . it becomes
(4x × x^2) + (4x × -5) + (-1 ×x^2) +
(-1 × - 5)
= 4x^3 - 20x - x^2 + 5
We would rearrange it in the standard form of a polynomial. It becomes
= 4x^3 - x^2 - 20x + 5