Question 1043299
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Factor 3x^2 + 26x + 51 and use the result to find the prime factors of 32651

I need the solution for the problem
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{{{3x^2 + 26x + 51}}} = {{{3*(x-(-3))*(x+17/3)}}} = (x+3)*(3x+17).

This is how to factor it.

How did I get it?

By solving the quadratic equation, I found the roots, and then got factoring.

I don't know how it is connected with factoring of the number 32651 into prime factors.

But I can factor this number independently:

32651 = 103*317.

Now I see that it is my polynomial and my factorization of it at x = 100.

But how I could get this idea for advance ???
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