Factor x^2+x-90

Problem

x2+x−90

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=1 and c=−90

2. Find two numbers that multiply to c (which is −90 and add to b (which is 1.

3. Determine the factors by testing pairs of factors of −90 The numbers 10 and −9 satisfy both conditions because 10⋅(−9)=−90 and 10 + (-9) = 1$.

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

Final Answer

x2+x−90=(x+10)*(x−9)

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