jmc
algebra senior
Problem
Write the following expression as a polynomial: (2x2+3x+7)(x+1)−(x+1)(x2+4x−63)+(3x−14)(x+1)(x+5).
Solution — click to reveal
Factoring out (x+1), we have:
= = = = = (x+1)((2x2+3x+7)−(x2+4x−63)+(3x−14)(x+5))(x+1)(2x2+3x+7−x2−4x+63+3x2+x−70)(x+1)(2x2−x2+3x2+3x−4x+x+7+63−70)(x+1)(4x2+0x+0)4x2(x+1)4x3+4x2.