Q. Expand.Your answer should be a polynomial in standard form.(x+1)(x−6)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x+1)(x−6).First, multiply the first terms in each binomial: x×x=x2.
Multiply first terms: Multiply the outer terms in the binomials: x⋅(−6)=−6x.
Multiply outer terms: Multiply the inner terms in the binomials: 1×x=x.
Multiply inner terms: Multiply the last terms in each binomial: 1×(−6)=−6.
Multiply last terms: Combine the products from steps 1 to 4 to get the expanded form: x2−6x+x−6.
Combine products: Combine like terms in the expression: x2−6x+x−6=x2−5x−6.