Q. Find the product. Simplify your answer.(x−1)(−x2−4x−3)
Distribute terms in first polynomial: First, we need to distribute each term in the first polynomial by each term in the second polynomial. This means we will multiply x by each term in the second polynomial and then −1 by each term in the second polynomial.
Multiply terms: Multiply x by −x2 to get −x3.
Combine products: Multiply x by −4x to get −4x2.
Simplify by combining terms: Multiply x by −3 to get −3x.
Final simplified form: Now, multiply −1 by −x2 to get x2.
Final simplified form: Now, multiply −1 by −x2 to get x2.Multiply −1 by −4x to get 4x.
Final simplified form: Now, multiply −1 by −x2 to get x2.Multiply −1 by −4x to get 4x.Multiply −1 by −3 to get 3.
Final simplified form: Now, multiply −1 by −x2 to get x2.Multiply −1 by −4x to get 4x.Multiply −1 by −3 to get 3.Combine all the products: −x3−4x2−3x+x2+4x+3.
Final simplified form: Now, multiply −1 by −x2 to get x2.Multiply −1 by −4x to get 4x.Multiply −1 by −3 to get 3.Combine all the products: −x3−4x2−3x+x2+4x+3.Now, we simplify by combining like terms. Combine −x20 and x2 to get −x22. Combine −x23 and 4x to get −x25.
Final simplified form: Now, multiply −1 by −x2 to get x2.Multiply −1 by −4x to get 4x.Multiply −1 by −3 to get 3.Combine all the products: −x3−4x2−3x+x2+4x+3.Now, we simplify by combining like terms. Combine −x20 and x2 to get −x22. Combine −x23 and 4x to get −x25.The simplified form of the product is −x26.