AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Factor.
Full solution
Q. Factor.
- Identify , , : Identify , , and in the quadratic expression by comparing it with the standard form .
- Find Multiplying Numbers: Find two numbers that multiply to (which is ) and add up to (which is ).We need to find two numbers that satisfy these conditions.
- Check Factors: After checking possible pairs of factors of , we find that and multiply to and add up to .So the two numbers we are looking for are and .
- Rewrite Middle Term: Rewrite the middle term () using the two numbers we found ( and ) to split it into two terms. becomes .
- Factor by Grouping: Factor by grouping. Group the first two terms and the last two terms.
- Factor out Common Factor: Factor out the greatest common factor from each group.
- Factor out Common Factor: Factor out the greatest common factor from each group.Since both groups contain the common factor , factor this out.The factored form of the expression is .
