Assertion Reason MCQ on Polynomials – Class 10 Mathematics

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The Chapter 2 of Class 10 Mathematics under the NCERT Syllabus is about the Polynomials. The various topics that are discussed in chapter 2 are the Geometrical Meaning of the Zeros of a Polynomial, the Relationship Between Zeros and the Coefficients of a Polynomial, and the Division Algorithm for Polynomials. This section consists of Assertion Reason MCQ Practice Questions on Polynomials for Class 10.

Each of the following questions contains two statements: Assertion (A) and Reason (R). Also, each of the questions has four options. Out of the four options, only one option is correct. Choose the correct answer for all the questions and then click on the submit button for results.

Assertion Reason MCQ on Polynomials - Class 10 Mathematics

1. 
Assertion (A): \[-1\] and \[4\] are the zeros of the polynomial \[x^2-3x-4\].

Reason (R): A real number \[k\] is said to be a zero of a polynomial \[p(x)\], if \[p(k)=0\].

2. 
Assertion (A): The graph of a quadratic polynomial \[p(x)\] intersects the \[x-axis\] at two points.

Reason (R): The graph of a quadratic polynomial is a parabola.

3. 
Assertion (A): The graph of a quadratic polynomial \[p(x)\] intersects the \[x-axis\] at two points.

Reason (R): The degree of a quadratic polynomial is 2.

4. 
Assertion (A): The graph of a polynomial \[p(x)\] intersects the \[x-axis\] at 3 points and \[y-axis\] at one point. The polynomial has 3 zeros.

Reason (R): The number of zeros that a polynomial \[p(x)\] can have is the number of times the polynomial intersects the \[x\] and \[y\] axis.

5. 
Assertion (A): \[x+1\] is a Linear Polynomial

Reason (R): The polynomials of degree 1 are called linear polynomials.

6. 
Assertion (A): The graph of a Linear Polynomial intersects the \[x-axis\] at one point

Reason (R): For a Polynomial \[p(x)\] of degree \[n\], the graph of \[y=p(x)\] intersects the \[x-axis\] at most \[n\] points.

7. 
Assertion (A): y^2+6y+9 has two zeros

Reason (R): A quadratic Polynomial can have at most two zeros.

8. 
Assertion (A): \[3x^3+3x^2+3x+3\] is a cubic polynomial

Reason (R): If the number '3' is multiplied in all the terms of a polynomial then it is called a cubic polynomial.

9. 
Assertion (A): The graph of a polynomial \[p(x)\] is a straight line parallel to \[x\] axis. The polynomial has no zeros.

Reason (R): If a polynomial \[p(x)\] does not intersect the \[x-axis\] at any point, it does not have any zero.

10. 
Assertion (A): The polynomial \[x^5+4x^4-2x^3+x^2-1\] has four zeros

Reason (R): The number of zeros that a polynomial can have is equal to the degree of the polynomial.


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