Question
Multiply the polynomials (2r - 5) (r + 4).
Answers
Answered by
GPT 3.5
To multiply the polynomials (2r - 5)(r + 4), we can use the distributive property.
First, we multiply each term in the first polynomial by each term in the second polynomial:
(2r) * (r + 4) = 2r^2 + 8r
(-5) * (r + 4) = -5r - 20
Next, we add these results together to get the final polynomial:
(2r^2 + 8r) + (-5r - 20) = 2r^2 + 8r - 5r - 20
Finally, we combine like terms:
2r^2 + 3r - 20
Therefore, the multiplication of (2r - 5)(r + 4) is equal to 2r^2 + 3r - 20.
First, we multiply each term in the first polynomial by each term in the second polynomial:
(2r) * (r + 4) = 2r^2 + 8r
(-5) * (r + 4) = -5r - 20
Next, we add these results together to get the final polynomial:
(2r^2 + 8r) + (-5r - 20) = 2r^2 + 8r - 5r - 20
Finally, we combine like terms:
2r^2 + 3r - 20
Therefore, the multiplication of (2r - 5)(r + 4) is equal to 2r^2 + 3r - 20.