Factor x^2+2x-3

Problem

x2+2*x−3

Solution

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

2. Find two numbers that multiply to a*c=−3 and add to b=2

3. Determine the pair of numbers, which are 3 and −1 since 3⋅(−1)=−3 and 3 + (-1) = 2$.

4. Write the expression in factored form (x+p)*(x+q) using the discovered numbers.

Final Answer

x2+2*x−3=(x+3)*(x−1)

Want more problems? Check here!