Question

Find the product of G(x) and H(x) and write it in standard form.

G(x) = 2x + 5
H(x) = x + 4

Answer 1

the product of h(x) and g(x) = 2x²+13x+20

Explanation:

to do the product of functions you have to multiply all the values of the function by themselves with parentheses . so g(x)×h(x)= (2x+5)(x+4)

because there are parentheses being used you need to foil and thus you will get

2x(x+4)+5(x+4)

simplify and get

2x²+8x+5x+20

continue to simplify and get

2x²+13x+20

this is your answer because it is already in standard quadratic form of ax²+bx+c.