Mathematics
Using remainder theorem, find the remainder when:
f(x) = 5x3 - 12x2 + 17x - 6 is divided by (x - 1).
Factorisation
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Answer
By remainder theorem,
If f(x) is divided by (x - a), then remainder = f(a).
Let f(x) = 5x3 - 12x2 + 17x - 6
Divisor :
⇒ x - 1 = 0
⇒ x = 1.
Substituting x = 1 in f(x), we get :
⇒ f(1) = 5(1)3 - 12(1)2 + 17(1) - 6
= 5(1) - 12(1) + 17(1) - 6
= 5 - 12 + 17 - 6
= 4.
Hence, remainder = 4.
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