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Question
When x3 – 3x2 + 5x – 7 is divided by x – 2,then the remainder is
Options
0
1
2
– 1
Solution
f(x) = x3 – 3x2 + 5x – 7
g(x) = x – 2, if x – 2 = 0, then x = 2
Remainder will be
∴ f(2) = (2)3 – 3(2)3 + 5 x 2 – 7
= 8 – 12 + 10 – 7
= 18 – 19
= –1
∴ Remainder = –1.
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