SOLUTION: Multiply (4x+1)(2x^2+x+1)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply (4x+1)(2x^2+x+1)      Log On


   

Question 109599: Multiply
(4x+1)(2x^2+x+1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x%2B1%29%282x%5E2%2Bx%2B1%29 Start with the given expression



4x%282x%5E2%2Bx%2B1%29%2B1%282x%5E2%2Bx%2B1%29 Expand the expression. Remember for something like %28a%2Bb%29%28c%2Bd%2Be%29 it expands to a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


Distribute


8x%5E3%2B4x%5E2%2B4x%2B2x%5E2%2Bx%2B1 Multiply


8x%5E3%2B6x%5E2%2B5x%2B1 Combine like terms



So %284x%2B1%29%282x%5E2%2Bx%2B1%29 expands and simplifies to 8x%5E3%2B6x%5E2%2B5x%2B1.

In other words, %284x%2B1%29%282x%5E2%2Bx%2B1%29=8x%5E3%2B6x%5E2%2B5x%2B1




If you need more help with multiplying polynomials, check out this Long Multiplication Calculator