NCERT Notes for Class 10 Maths Chapter 2 Polynomials
Class 10 Maths Chapter 2 Polynomials Notes
Chapter Name  Polynomials Notes 
Class  CBSE Class 10 
Textbook Name  NCERT Mathematics Class 10 
Related Readings 

 “Polynomial” comes from the word ‘Poly’ (Meaning Many) and ‘nomial’ (in this case meaning Term)so it means many terms.
 A polynomial is made up of terms that are only added, subtracted or multiplied.
 A quadratic polynomial in x with real coefficients is of the form ax² + bx + c, where a, b, c are real numbers with a ≠ 0.
 Degree – The highest exponent of the variable in the polynomial is called the degree of polynomial. Example: 3x3 + 4, here degree = 3.
 Polynomials of degrees 1, 2 and 3 are called linear, quadratic and cubic polynomial respectively.
 A polynomial can have terms which have Constants like 3, 20, etc., Variables like x and y and Exponents like 2 in y².
 These can be combined using addition, subtraction and multiplication but NOT DIVISION.
 The zeroes of a polynomial p(x) are precisely the xcoordinates of the points, where the graph of y = p(x) intersects the xaxis.
If Î± and Î² are the zeroes of the quadratic polynomial ax² + bx + c, then
If Î±, Î², Î³ are the zeroes of the cubic polynomial ax3 + bx2 + cx + d = 0, then
Zeroes (Î±, Î², Î³) follow the rules of algebraic identities, i.e.,
(Î± + Î²)² = Î±² + Î²² + 2Î±Î²
∴ (Î±² + Î²²) = (Î± + Î²)² – 2Î±Î²
Divisional Algorithm
If p(x) and g(x) are any two polynomials with g(x) ≠ 0, then
p(x) = g(x) × q(x) + r(x)
Dividend = Divisor × Quotient + Remainder
Remember this!
 If r (x) = 0, then g (x) is a factor of p (x).
 If r (x) ≠ 0, then we can subtract r (x) from p (x) and then the new polynomial formed is a factor of g(x) and q(x).