Factor x^2+3x-70

Problem

x2+3*x−70

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=3 and c=−70

2. Find two numbers that multiply to c (which is −70 and add to b (which is 3.

3. List the factors of −70 to find the pair that sums to 3 10 and −7

4. Verify the sum and product: 10⋅(−7)=−70 and 10 + (-7) = 3$.

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

Final Answer

x2+3*x−70=(x+10)*(x−7)

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