Factor p^2+11p+10

Problem

p2+11*p+10

Solution

1. Identify the coefficients of the quadratic expression in the form a*p2+b*p+c where a=1 b=11 and c=10

2. Find two numbers that multiply to a*c (which is 1×10=10 and add to b (which is 11.

3. Determine the pair of numbers, which are 10 and 1 because 10×1=10 and 10 + 1 = 11$.

4. Rewrite the expression as a product of two binomials (p+r)*(p+s) using the identified numbers.

Final Answer

p2+11*p+10=(p+10)*(p+1)

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