Q. Expand.Your answer should be a polynomial in standard form.(x−9)(x+2)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x−9)(x+2).First, multiply the first terms in each binomial: x×x=x2.Next, multiply the outer terms: x×2=2x.Then, multiply the inner terms: −9×x=−9x.Finally, multiply the last terms: −9×2=−18.
Combine like terms: Combine the like terms from the expansion.We have x2 from the first terms, 2x and −9x from the outer and inner terms, and −18 from the last terms.Combine 2x and −9x to get −7x.So, the expression becomes x2−7x−18.
Write final answer in standard form: Write the final answer in standard form, which is a polynomial arranged in descending order of degree.The standard form of the expanded polynomial is x2−7x−18.