Expand and simplify the expression (3x2−2x+1)(2x2+x−3)
Combine like terms: 6x4−x3−9x2+7x−3
Step 1 :Firstly, we must distribute each term in the first polynomial to every term in the second polynomial. This gives us: 3x2∗2x2+3x2∗x+3x2∗−3−2x∗2x2−2x∗x−2x∗−3+1∗2x2+1∗x−1∗3
Step 2 :This simplifies to: 6x4+3x3−9x2−4x3−2x2+6x+2x2+x−3
Step 3 :Combine like terms: 6x4−x3−9x2+7x−3