Factorise the following : x² -15x-216
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2
Answer:
In the given polynomial x
2
−2x−99,
The first term is x
2
and its coefficient is 1.
The middle term is −2x and its coefficient is −2.
The last term is a constant term −99.
Multiply the coefficient of the first term by the constant 1×(−99)=−99.
We now find the factor of −99 whose sum equals the coefficient of the middle term, which is −2 and then factorize the polynomial x
2
−2x−99 as shown below:
x
2
−2x−99
=x
2
−11x+9x−99
=x(x−11)+9(x−11)
=(x+9)(x−11)
Hence, x
2
−2x−99=(x+9)(x−11).
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