Assertion (A): \[P(x)=14{{x}^{3}}-2{{x}^{2}}+8{{x}^{4}}+7x-8\]is polynomial of degree 3. |
Reason (R): The highest power of x in the polynomial \[p(x)\]is the degree of the polynomial. |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
Correct Answer: D
Solution :
[d] The highest power of x in the polynomial |
\[p(x)=14{{x}^{3}}-2{{x}^{2}}+8{{x}^{4}}+7x-8\] is 4. |
Degree of \[p(x)\] is 4. So, assertion is incorrect but reason is correct. |
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