Assertion :If p(x) is a polynomial of degree ≥ 1 and ax+b is a factor of p(x) then we have p(−ba)=0. Reason: If p(x) is a polynomial of degree ≥ 1, then polynomial (x-a)(x-b) is a factor of p(x) if p(a)=0 and p(b)=0.
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution
The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion Let p(x) be a polynomial of degree≥1.
Assertion:
If ax+b is a factor of p(x), then :
p(x)=(ax+b).q(x) where q(x) is another polynomial of degree≥0.