Mathematics
Using remainder theorem, find the remainder when:
f(x) = 3x2 - 5x + 7 is divided by (x - 2).
Factorisation
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Answer
By remainder theorem,
If f(x) is divided by (x - a), then remainder = f(a).
f(x) = 3x2 - 5x + 7
Divisor :
⇒ x - 2 = 0
⇒ x = 2
Substituting x = 2 in f(x), we get :
⇒ f(2) = 3(2)2 - 5(2) + 7
= 3(4) - 5(2) + 7
= 12 - 10 + 7
= 9.
Hence, remainder = 9.
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