Multiply the polynomials (2r−5)(r+4) .(2 points)

Answer 1

To multiply the polynomials (2r - 5)(r + 4), we can use the distributive property.

First, distribute the first term of the first polynomial (2r) to both terms of the second polynomial (r and 4):

(2r)(r) = 2r^2
(2r)(4) = 8r

Then, distribute the second term of the first polynomial (-5) to both terms of the second polynomial (r and 4):

(-5)(r) = -5r
(-5)(4) = -20

Combining the results, we have:

(2r - 5)(r + 4) = 2r^2 + 8r - 5r - 20

Simplifying further:

= 2r^2 + 3r - 20

Therefore, the product of the polynomials (2r - 5)(r + 4) is 2r^2 + 3r - 20.