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Question
Factorise the expression and divide them as directed:
(x2 – 22x + 117) ÷ (x – 13)
Solution
We have,
(x2 – 22x + 117) ÷ (x – 13)
= `(x^2 - 22x + 117)/(x - 13)`
= `(x^2 - 13x - 9x + 117)/(x - 13)`
= `(x(x - 13) - 9(x - 13))/(x - 13)`
= `((x - 13)(x - 9))/(x - 13)`
= x – 9
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