x^2-13x-144 factorise class 8 ka questions
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Correct question:
Factorize the given quadratic polynomial ;
x² - 13x - 114 .
Answer:
(x - 19)(x + 6)
Solution:
Here,
The given polynomial is ;
x² - 13x - 114 .
We need to factorize the given polynomial .
Let's factorize it by middle term splitting method.
Working rule :
Split the middle term in such a way that the product of its parts is equal to the product of first and last term .
Now,
=> x² - 13x - 114
=> x² - 19x + 6x - 114
=> x(x - 19) + 6(x - 19)
=> (x - 19)(x + 6)
Hence,
The required answer is :
(x - 19)(x + 6)
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