SOLUTION: 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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Question 1043299: Factor 3x^2 + 26x + 51 and use the result to find the prime factors of 32651
I need the solution for the problem
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Factor 3x^2 + 26x + 51 and use the result to find the prime factors of 32651
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3x^2+26x+51 = (x+3)(3x+17)
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3x^2 + 26x + 51 = 32600 + 51
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3x^2 + 26x = 32600
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3x^2 + 26x = 30000 + 2600 = 3(100^2) + 26(100)
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So, x = 100
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Prime factors are x+3 = 103 and 3x+17 = 317
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103*317 = 32651
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Cheers,
Stan H.

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Factor 3x^2 + 26x + 51 and use the result to find the prime factors of 32651
I need the solution for the problem
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

 =  = (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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