CBSE Class 10 Maths Chapter 2 â€“ Polynomials â€“ Free PDF Download
Free PDF download of Class 10 Maths Chapter 2 â€“ Polynomials Revision Notes & Short Key-notes prepared by expert Mathematics teachers from latest edition of CBSE(NCERT) books.
You can also DownloadÂ Maths NCERT Solutions Class 10Â to help you to revise complete Syllabus and score more marks in your examinations.
CBSE Class 10 Maths Revision Notes Chapter 2 Polynomials
- Geometrical Meaning of the Zeroes of a Polynomial
- Zeroes and Coefficients of a Polynomial
- Division Algorithm for Polynomials
- Monomials: Algebraic expression with one term is known as Monomial.
- Binomial: Algebraic expression with two terms is called Binomial.
- Trinomial: Algebraic expression with three terms is known as Trinomial.
- Polynomials: All above mentioned algebraic expressions are called Polynomials.
- Polynomials of degrees 1, 2 and 3 are called linear, quadratic and cubic polynomials respectively.
- A quadratic polynomial in x with real coefficient is of the formÂ ,where a, b, c are real numbers withÂ .
- The zeroes of a polynomial p(x) are precisely the xâ€“coordinates of the points where the graph of y = p(x) intersects the x-axis i.e. x = a is a zero of polynomial p(x) if p(a) = 0.
- A polynomial can have at most the same number of zeros as the degree of polynomial.
- For quadratic polynomialÂ
Sum of zeroes =
Product of zeroes =Â
10.Â In aÂ cubic polynomialÂ , ifÂ Â are the zeroes of the polynomial, then
11. The division algorithm states that given any polynomial p(x) and polynomial g(x), there are polynomials q(x) and r(x) such that :
where r(x) = 0 or degree of r(x) < degree of g(x).
OrÂ Â Â Â Â Â Â Â Â Dividend = Divisor x Quotient + Remainder
If r(x) = a zero polynomial, then p(x) is said to be completely divisible by g(x), i.e., g(x) is a factor of p(x).