Factor 9x^2-3x-2

Problem

9*x2−3*x−2

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=9 b=−3 and c=−2

2. Find two numbers that multiply to a⋅c=9⋅(−2)=−18 and add to b=−3

3. Determine the pair of numbers, which are −6 and 3 since (−6)⋅3=−18 and −6+3=−3

4. Rewrite the middle term −3*x using the two numbers found: 9*x2−6*x+3*x−2

5. Factor by grouping by taking the greatest common factor out of the first two terms and the last two terms: 3*x*(3*x−2)+1*(3*x−2)

6. Factor out the common binomial (3*x−2) to obtain the final factored form.

Final Answer

9*x2−3*x−2=(3*x+1)*(3*x−2)

Want more problems? Check here!