Question 83967: Rewrite the middle term as the sum of two terms and then factor by grouping.
x^2 – 2x – 63
Answer by praseenakos@yahoo.com(507)   (Show Source):
You can put this solution on YOUR website! Question:
Rewrite the middle term as the sum of two terms and then factor by grouping.
x^2 – 2x – 63
Answer:
Here find out two numbers, whose sum is -2{that is coefficient of 'x' term and whose product is -63(that is constant term)
Such two numbers are -9 and +7
(
Now rewrite the given expression as follows...
x^2 - 9x + 7x - 63 = 0
Now group the terms...
(x^2 - 9x) + (7x - 63) = 0
Now take take out the common term from both the groups...
==> x( x-9) + 7(x-9) = 0
Now (x-9) is common in both the terms...
==> (x-9) (x-7)
So the factors of given expression are (x-9) and (x-7).
Hope you found the explanation useful....
Regards...
Praseena.
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