Factor 3x^2-4x-4

Problem

3*x2−4*x−4

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=3 b=−4 and c=−4

2. Find two numbers that multiply to a⋅c=3⋅(−4)=−12 and add to b=−4

3. Determine the pair of numbers, which are −6 and 2 since (−6)⋅2=−12 and −6+2=−4

4. Rewrite the middle term −4*x using the two numbers found: 3*x2−6*x+2*x−4

5. Factor by grouping the first two terms and the last two terms: 3*x*(x−2)+2*(x−2)

6. Factor out the common binomial (x−2) to obtain the final factored form.

Final Answer

3*x2−4*x−4=(3*x+2)*(x−2)

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