11x^2+2x-9
Factor by grouping
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Factorization
11x^2 + 2x - 9
11x^2 + 11x - 9x - 9
can you finish it off now?
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To factor the quadratic expression 11x^2 + 2x - 9 by grouping, follow these steps:
Step 1: Split the middle term
Look at the coefficient of the middle term (2x in this case), and find two numbers that multiply to give you the product of the coefficient of the quadratic term (11) and the constant term (-9). In this case, the product is -99. The numbers that satisfy this condition are -11 and 9.
Step 2: Group the terms
Rewrite the expression using the two numbers you found, and group the terms as follows:
11x^2 - 11x + 9x - 9
Step 3: Factor by grouping
Now we look for the greatest common factors (GCF) in each group separately.
In the first group, we can factor out 11x:
11x(x - 1).
In the second group, we can factor out 9:
9(x - 1).
Step 4: Final factorization
Since both groups have a factor of (x - 1), we can rewrite the expression as:
(11x + 9)(x - 1).
The factored form of the quadratic expression 11x^2 + 2x - 9 is (11x + 9)(x - 1).