Question

algebra 1 a semester exam
multiply the polynomials $(2r - 5)(r + 4)$. (2 points)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first polynomial by each term in the second polynomial:
\((2r - 5)(r + 4)=2r\times r+2r\times4 - 5\times r - 5\times4\)

Step2: Simplify each term

Calculate each product:
\(2r\times r = 2r^{2}\), \(2r\times4 = 8r\), \(-5\times r=-5r\), \(-5\times4 = -20\)

Step3: Combine like terms

Combine the middle terms (\(8r\) and \(-5r\)):
\(2r^{2}+8r - 5r - 20=2r^{2}+3r - 20\)

Answer:

\(2r^{2}+3r - 20\)