Question
When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively. Find the polynomial.
Answer: Option D
:
D
We know that, by divison algorithm,
Dividend = Divisor x Quotient + Remainder.
∴P(x)=(x+2)×(2x−1)+3=x(2x−1)+2(2x−1)+3=2x2−x+4x−2+3P(x)=2x2+3x+1
∴The required polynomialis2x2+3x+1.
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:
D
We know that, by divison algorithm,
Dividend = Divisor x Quotient + Remainder.
∴P(x)=(x+2)×(2x−1)+3=x(2x−1)+2(2x−1)+3=2x2−x+4x−2+3P(x)=2x2+3x+1
∴The required polynomialis2x2+3x+1.
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