Factor x^2+3x-4

Problem

x2+3*x−4

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=3 and c=−4

2. Find two numbers that multiply to c (which is −4 and add to b (which is 3.

3. Determine the pair of numbers, which are 4 and −1 since 4⋅(−1)=−4 and 4 + (-1) = 3$.

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

Final Answer

x2+3*x−4=(x+4)*(x−1)

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