Question

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

__ x^2 + __x + __

Answer 1

Multiply to simplify the polynomial expression (r−1)(r2−2r+3) .(2 points)

__r^3 + __r^2 + __r + __

Answer 2

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

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

= x^2 - 4x + 2x - 8

= x^2 - 2x - 8

Therefore, the polynomial expression (x+2)(x-4) is equal to x^2 - 2x - 8.

Answer 3

To multiply and simplify the polynomial expression (r-1)(r^2-2r+3), we can again use the distributive property.

(r-1)(r^2-2r+3) = r(r^2-2r+3) - 1(r^2-2r+3)

= r^3 - 2r^2 + 3r - r^2 + 2r - 3

= r^3 - 3r^2 + 5r - 3

Therefore, the polynomial expression (r-1)(r^2-2r+3) simplifies to r^3 - 3r^2 + 5r - 3.