Q. Expand.Your answer should be a polynomial in standard form.(x−1)(x+4)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x−1)(x+4).First, multiply the first terms in each binomial: x×x=x2.Next, multiply the outer terms: x×4=4x.Then, multiply the inner terms: −1×x=−x.Finally, multiply the last terms: −1×4=−4.
Multiply first terms: Combine the like terms from the multiplication.We have x2 from the first terms, 4x and −x from the outer and inner terms, and −4 from the last terms.Combining 4x and −x gives us 3x.So, the expression becomes x2+3x−4.