Factor x^2-x-42

Problem

x2−x−42

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−1 and c=−42

2. Find two numbers that multiply to c (which is −42 and add to b (which is −1.

3. Determine the factors by testing pairs of numbers that multiply to −42 such as 6 and −7

4. Verify that 6 + (-7) = -1a*n*d \times (-7) = -42$.

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

Final Answer

x2−x−42=(x−7)*(x+6)

Want more problems? Check here!