Directions- In the following questions- a statement of Assertion A is followed by a statement of Reason R-Mark the correct choice as-Assertion A- If fx - 3x7 - 4x6 - x - 9 is a polynomial- then its degree is 7-Reason R- Degree of a polynomial is the highest power of the variable in it-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Relation between Continuity and Differentiability

Directions: I...

Question

Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Mark the correct choice as:
Assertion (A): If f(x) = 3x⁷ – 4x⁶ + x + 9 is a polynomial, then its degree is 7.
Reason (R): Degree of a polynomial is the highest power of the variable in it.

Assertion (A) is false, but Reason (R) is true.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Assertion (A) is true, but Reason (R) is false.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A)
The highest power of the variable is degree of a polynomial.
And for the given polynomial, 7 is the highest power, hence 7 is the degree as well.
Therefore both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A)

Suggest Corrections

Similar questions

Direction: In the following question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion: $P (x) = 14 x^{3} - 2 x^{2} + 8 x^{2} + 7 x - 8$ is a polynomial of degree 3.

Reason: The highest power of $x$ in the polynomial $P (x)$ is the degree of the polynomial.

Q. In the following question, a statement of assertion (A) is followed by a statement of reason (R).
Assertion (A): P(x) = 4x³-x²+5x⁴+3x-2 is a polynomial of degree 3.
Reason (R): The highest power of x in the polynomial P(x) is the degree of the polynomial.
Mark the correct choice :

Q. Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Mark the correct choice as:
Assertion (A): The expression 3x⁴ – 4x^3/2 + x² = 2 is not a polynomial because the term – 4x^3/2 contains a rational power of x.
Reason (R): The highest exponent in various terms of an algebraic expression in one variable is called its degree.

An assertion and its reason are given, which option is correct for this.
Assertion: If f(x) = $5 x^{7} - 3 x^{6} + x + 2$ is a polynomial, then its degree is 7.
Reason: The degree of a polynomial is the highest power of the variable in it.

Q. In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice.

Assertion(A) : $x^{3}$ + $x$ has only one real zero.
Reason(R) : A polynomial of $n^{t h}$ degree must have 𝒏 real zeros.

Join BYJU'S Learning Program