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To multiply the polynomials (2r-5) and (r+4), we can use the distributive property.
First, we multiply 2r by both terms in the second polynomial:
2r * r = 2r^2
2r * 4 = 8r
Next, we multiply -5 by both terms in the second polynomial:
-5 * r = -5r
-5 * 4 = -20
Putting it all together, we get:
(2r-5)(r+4) = 2r^2 + 8r - 5r - 20
Combining like terms:
= 2r^2 + 3r - 20
So the product of the polynomials (2r-5)(r+4) is 2r^2 + 3r - 20.