Factor 6x^2+5x-6

Problem

6*x2+5*x−6

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=6 b=5 and c=−6

2. Find two numbers that multiply to a⋅c=6⋅(−6)=−36 and add to b=5

3. Determine the pair of numbers, which are 9 and −4 since 9⋅(−4)=−36 and 9 + (-4) = 5$.

4. Rewrite the middle term 5*x using the two numbers found: 6*x2+9*x−4*x−6

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

6. Factor out the common binomial factor (2*x+3)

Final Answer

6*x2+5*x−6=(3*x−2)*(2*x+3)

Want more problems? Check here!