what is polynomial /Types of Polynomial Definition and Various Types /Linear, Quadratic and Cubic/
what is poltnomial?
Polynomial *
Classification of polynomial :-
AS PER DEGREE:- there are three types of polynomial as per degree,
1) Linear polynomial :-Polynomial of
degree one.
2) Quadratic polynomial :- Polynomial of
degree two.
3) Cubic polynomial :- Polynomial of
degree three.
AS PER NO. OF TERMS:- there are three types of polynomial as per number of terms,
1) Monomial :-Polynomial has one terms.
2) Binomial :- Polynomial have two terms.
3) Trinomial :- Polynomial have three terms.
** Notes **
Polynomials
“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 x-coordinates of the points, where the graph of y = p(x) intersects the x-axis.
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