Factor 2x^2+5x-3

Problem

2*x2+5*x−3

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=2 b=5 and c=−3

2. Find two numbers that multiply to a⋅c=2⋅(−3)=−6 and add to b=5

3. Determine the pair of numbers, which are 6 and −1 since 6⋅(−1)=−6 and 6 + (-1) = 5$.

4. Rewrite the middle term 5*x using the pair found: 2*x2+6*x−x−3

5. Factor by grouping the first two terms and the last two terms: 2*x*(x+3)−1*(x+3)

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

Final Answer

2*x2+5*x−3=(2*x−1)*(x+3)

Want more problems? Check here!