QuestionFactor the expression .
Studdy Solution
STEP 1
1. The expression is a quadratic trinomial.
2. We will use factoring by grouping to factor the quadratic expression.
STEP 2
1. Identify a pair of numbers that multiply to the product of the leading coefficient and the constant term, and add to the middle coefficient.
2. Rewrite the middle term using the pair of numbers identified.
3. Factor by grouping.
STEP 3
Calculate the product of the leading coefficient and the constant term:
Identify two numbers that multiply to and add to (the middle coefficient). These numbers are and .
STEP 4
Rewrite the middle term using the numbers and :
STEP 5
Factor by grouping:
Group the terms:
Factor out the greatest common factor from each group:
Notice that is a common factor:
The factored form of the expression is:
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