Use the Distributive Property to rewrite the polynomial (x+8)(x−2) ( x + 8 ) ( x − 2 ) .(2 points) 222 - incorrectx2+ x 2 + 222 - incorrectx+ x +
(x+8)(x-2) = x(x-2) + 8(x-2) = x^2 - 2x + 8x - 16 = x^2 + 6x - 16
To use the Distributive Property to rewrite the polynomial (x+8)(x−2), you would multiply each term in the first binomial by each term in the second binomial.
(x+8)(x−2) can be rewritten as:
x(x) + x(-2) + 8(x) + 8(-2)
Multiplying each pair of terms together, we get:
x^2 - 2x + 8x - 16
Combining like terms, we get:
x^2 + 6x - 16
To rewrite the polynomial (x+8)(x-2) using the distributive property, we need to distribute the terms inside the parentheses to each term in the other set of parentheses.
(x+8)(x-2) can be expanded as follows:
x * x + x * (-2) + 8 * x + 8 * (-2)
This simplifies to:
x^2 - 2x + 8x - 16
Combining like terms:
x^2 + 6x - 16
Therefore, the rewritten polynomial using the distributive property is x^2 + 6x - 16.