Q. Expand.Your answer should be a polynomial in standard form.(x+2)(x+5)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x+2)(x+5).First, multiply the first terms in each binomial: x×x=x2.Next, multiply the outer terms: x×5=5x.Then, multiply the inner terms: 2×x=2x.Finally, multiply the last terms: 2×5=10.
Combine like terms: Combine like terms from the results of the distributive property.We have x2 from the first terms, 5x and 2x from the outer and inner terms, and 10 from the last terms.Combine 5x and 2x to get 7x.So, the expression becomes x2+7x+10.
Write in standard form:Write the polynomial in standard form.The standard form for a polynomial is to write the terms in descending order of their exponents.The expression x2+7x+10 is already in standard form.