Quotient and remainder of a polynomial when
divided by X+2 are 2x-1 and 3 respectively. Find
the polynomial.
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Answer:
We know, p(x)=[g(x)×q(x)]+r(x) [Division algorithm for polynomials]
p(x)=(2x−1)(7x
2
+x+5)+4
p(x)=14x
3
+2x
2
+10x−7x
2
−x−5+4
p(x)=14x
3
−5x
2
+9x−1
∴$ the dividend p(x)=14x
3
−5x
2
+9x−1
Step-by-step explanation:
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