Question 5353
Hi.

To solve the polynomial compare it with  ax^2 + b x + c 

We get a = 1, b = -2, c = -63

Sum = b = -2
Product = a * c = 1 * -63 = -63

Now we have to find two numbers such that there product is -63 and their sum is -2

Can you find the same?

Yes   ---   -63 can be broken up into two parts   -9 and +7 
The product of the numbers -9 and 7 is  -63 and the sum is  -2

So we get

      m^2 - 2m - 63
      m^2 - 9m + 7m - 63
      m (m - 9) + 7(m - 9)      We have taken m common from first two terms and 
                                7 common from the last two terms

      (m - 9) (m +7)            (By taking out (m-9) common

These are the required factors.

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