Simplify the following polynomial and find the leading term: 3x4−5x3+2x2−3x+1−(2x4+x3−x2+2x−1)
Simplify each term: x4−6x3+3x2−5x+2
Step 1 :First, distribute the negative sign to each term inside the parentheses: 3x4−5x3+2x2−3x+1−2x4−x3+x2−2x+1
Step 2 :Then, combine like terms: (3x4−2x4)+(−5x3−x3)+(2x2+x2)+(−3x−2x)+(1+1)
Step 3 :Simplify each term: x4−6x3+3x2−5x+2