Find the remainder when 3x² - 4x +1 is divided by (x-2)
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Given that, the polynomial p(x)=−x+3x2−1 is divided by (x+1).
To find out: The remainder.
According to the remainder theorem, the remainder of the division of a polynomial f(x) by a linear polynomial (x−a) is f(a).
Here a=−1
∴ Remainder is p(−1)
⇒p(−1)=−(−1)+3(−1)2−1=1+3−1=3
Hence, the remainder when p(x) is divided by (x+1) is 3.
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