Factor x^2+12x+35

Problem

x2+12*x+35

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=12 and c=35

2. Find two numbers that multiply to c (35 and add to b (12.

3. Determine the factors by testing pairs of numbers that multiply to 35 1×35 (sum is 36 and 5×7 (sum is 12.

4. Write the expression as a product of two binomials using the identified numbers 5 and 7

Final Answer

x2+12*x+35=(x+5)*(x+7)

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