Important Questions of Class 10 Ch 2 Maths

Chapter 2 of Class 10 Maths is all about Polynomials. This chapter teaches students about the concepts of polynomials, algebraic expressions, degree of polynomials, and their properties. Here are some important questions for this chapter:

1. What is a polynomial?

A polynomial is an algebraic expression that consists of one or more terms. The terms are combined using the operations of addition, subtraction, multiplication, and division.

2. What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the polynomial. For example, the degree of the polynomial 3x^2 + 2x - 1 is 2.

3. What is the difference between a monomial and a polynomial?

A monomial is a polynomial with only one term, while a polynomial has more than one term.

4. What is the factorization of a polynomial?

The factorization of a polynomial is the process of expressing it as a product of two or more polynomials of lower degree.

5. What is a quadratic polynomial?

A quadratic polynomial is a polynomial of degree 2. It can be written in the form ax^2 + bx + c, where a, b, and c are constants.

6. How do you add and subtract polynomials?

To add or subtract polynomials, you need to combine like terms. Like terms are terms that have the same variable and the same exponent.

7. What is the remainder theorem?

The remainder theorem states that if a polynomial f(x) is divided by x - a, then the remainder is equal to f(a).

8. What is the factor theorem?

The factor theorem states that if a polynomial f(x) has a factor x - a, then f(a) = 0.

9. How do you find the zeroes of a polynomial?

To find the zeroes of a polynomial, you need to solve the equation f(x) = 0, where f(x) is the polynomial.

10. What is the rational root theorem?

The rational root theorem states that if a polynomial has integer coefficients, then any rational root of the polynomial must be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

In conclusion, these are some of the important questions that students should be familiar with in Chapter 2 of Class 10 Maths. By understanding these concepts, students can develop a strong foundation for further studies in algebra.