Mathematics
Using remainder theorem, find the remainder when:
f(x) = 2x3 - 5x2 + 3x - 10 is divided by (x - 3).
Factorisation
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Answer
By remainder theorem,
If f(x) is divided by (x - a), then remainder = f(a).
f(x) = 2x3 - 5x2 + 3x - 10
Divisor :
⇒ x - 3 = 0
⇒ x = 3
Substituting x = 3 in f(x), we get :
⇒ f(3) = 2(3)3 - 5(3)2 + 3(3) - 10
= 2(27) - 5(9) + 3(3) - 10
= 54 - 45 + 9 - 10
= 8.
Hence, remainder = 8.
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