CBSE Class 10 Maths Chapter 2 Polynomials Formulas

CBSE Class 10 Maths Chapter 2 All Formulas are available here. You can check these formulas along with all the definitions, theorems and properties related to Polynomials for quick revision at the time of examination. In order to score high marks in your Maths paper, you must keep all formulas at your finger tips. For this, you can take the help of this article for frequent revision of all important formulas.

Check all formulas below:                                                  

1. A polynomial p(x) in one variable x is an algebraic expression in x of the form p(x) = a_nxⁿ + a_n–1x^{n – 1} + . . . + a₂x² + a₁x + a₀ , where a₀ , a₁ , a₂ , . . ., a_n are constants and a_n ≠ 0.

a₀, a₁, a₂, . . ., a_n are respectively the coefficients of x⁰, x, x² , . . ., xⁿ

2. The highest power of x in a polynomial is called the degree of that polynomial. For example n is called the degree of the above polynomial p(x).

3. A polynomial of degree one is called a linear polynomial.

4. A polynomial of degree two is called a quadratic polynomial.

5. A polynomial of degree three is called a quadratic polynomial.

6. A real number k is called the zero of a polynomial p(x) if p(k) = 0.

7. Geometrically the zeroes of a polynomial p(x) are precisely the x-coordinates of the points, where the graph of y = p(x) intersects the x -axis

Also Check: CBSE Class 10 Maths Syllabus 2021-2022

8. Relationship between Zeroes and Coefficients of a Polynomial

If α and β are the zeroes of the quadratic polynomial p(x) = ax² + bx + c, a ≠ 0 then

If α, β, γ are the zeroes of the cubic polynomial ax³ + bx² + cx + d, then

9. Division algorithm for polynomials: It states that that given any polynomial p(x) and any non-zero polynomial g(x), there are polynomials q(x) and r(x) such that

p(x) = g(x)q(x) + r(x),

where r(x) = 0 or degree r(x) < degree g(x).

Here p(x) is divided , g(x) is divisior, q(x) is quotient and r(x) is remainder.