Factor 2x^2-9x+9

Problem

2*x2−9*x+9

Solution

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

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

3. Determine the pair of numbers, which are −6 and −3 since (−6)⋅(−3)=18 and (−6)+(−3)=−9

4. Rewrite the middle term −9*x using the two numbers found:

2*x2−6*x−3*x+9

5. Factor by grouping by taking the greatest common factor out of the first two terms and the last two terms:

2*x*(x−3)−3*(x−3)

6. Factor out the common binomial (x−3)

(2*x−3)*(x−3)

Final Answer

2*x2−9*x+9=(2*x−3)*(x−3)

Want more problems? Check here!