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Factorize the quadratic expression 3f2 - 13f + 4.
Mathematics
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Answer
(3f - 1)(f - 4)
Step-by-step solution
5 stepsTo factorize the quadratic expression , we will use the method of splitting the middle term.
Identify the coefficients.
The expression is in the form , where , , and .
Find two numbers that multiply to and add up to .
We need two numbers that multiply to and add up to .
The two numbers are and , because and .Rewrite the middle term using these two numbers.
Factor by grouping.
Group the terms and factor out the common factors from each pair.
Factor from the first group and from the second group.
Factor out the common binomial.
Now, is a common factor.
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