Multiply the polynomial expression%C2%A0 (x+2)(x−4) .(2 points)

Question

Remember to multiply each term in the first binomial by each term in the second binomial. Remember that there will be two like terms with the variable x that must be combined. Remember that a positive number times a negative number is a negative number.

Answer 1

To multiply the expression (x+2)(x-4), we can use the distributive property.

(x+2)(x-4) = x(x-4) + 2(x-4)

Multiplying each term of the first binomial (x+2) by each term of the second binomial (x-4), we get:

x(x) + x(-4) + 2(x) + 2(-4)

Simplifying each term, we get:

x^2 - 4x + 2x - 8

Combining like terms, we get:

x^2 - 2x - 8

Thus, the product of the polynomial expression (x+2)(x-4) is x^2 - 2x - 8.