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Question

Factorise: x2-8x+15


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Solution

We need to factorise x2-8x+15:

x2-8x+15

By splitting the middle term,

=x2-5x-3x+15=x(x-5)-3(x-5)=(x-5)(x-3)

Hence, the factors of the given polynomial x2-8x+15 are (x-5) and (x-3).


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