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Standard IX

Mathematics

Remainder Theorem

The polynomia...

Question

The polynomial p(x) and q(x) when divided by x+2 and x-3 leave a remainder of 3 and 5 respectively.
So which of the following is true?

p(-2)+q(3)=8

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p(2)-q(3)=-8

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p(3)-q(-2)=-5

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p(-3)-q(-2)=2

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Solution

The correct option is A
p(-2)+q(3)=8

p(-2)+q(3)=8

In this case, the remainders will be p(-2) and q(3) respectively. Hence the answer

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The polynomial p(x) and q(x) when divided by x+2 and x-3 leave a remainder of 3 and 5 respectively. So which of the following is true?

The correct option is A p(-2)+q(3)=8p(-2)+q(3)=8 In this case, the remainders will be p(-2) and q(3) respectively. Hence the answer

The polynomial p(x) and q(x) when divided by x+2 and x-3 leave a remainder of 3 and 5 respectively.
So which of the following is true?

The correct option is A
p(-2)+q(3)=8

p(-2)+q(3)=8

In this case, the remainders will be p(-2) and q(3) respectively. Hence the answer