Multiply and simplify the following polynomials: (3x2−2x+1)(x2+x−2)
Combine like terms to get 3x4+x3−7x2+5x−2
Step 1 :First, distribute each term in the first polynomial to each term in the second polynomial. That is, 3x2∗x2+3x2∗x+3x2∗−2−2x∗x2−2x∗x−2x∗−2+1∗x2+1∗x−1∗2
Step 2 :Simplify to get 3x4+3x3−6x2−2x3−2x2+4x+x2+x−2
Step 3 :Combine like terms to get 3x4+x3−7x2+5x−2