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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#Polynomial
#Class9th
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