Answer:
h(x) = (x^2 - 6x + 8)(x + 4)
This is the factored form of h(x), expressed as the product of two factors
Explanation:
To write h(x) as a product of two factors, we can use polynomial long division or synthetic division to divide the numerator (x^3 - 2x^2 - 16x + 32) by the denominator (x + 4). Since the expression is already given in factored form, we can simply express h(x) as the product of the remaining factor and the denominator.
The denominator, x + 4, is already factored. To find the remaining factor, we divide the numerator by the denominator using long division or synthetic division.
Performing the division, we find that the quotient is x^2 - 6x + 8. Therefore, we can write h(x) as a product of two factors:
h(x) = (x^2 - 6x + 8)(x + 4)
This is the factored form of h(x), expressed as the product of two factors.