We, at cbseinsights.com, have come up with the list of Formulae considered as RAM BAAN for polynomials Chapter-2. The main aim of CBSE Maths Formula Class 10 is to help students memorize and apply the concepts in a very understandable way. I hope you all will find the list quite helpful .Wishing for your best and confident future.
CBSE MATHS FORMULA CLASS 10 POLYNOMIALS CHAPTER 2
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Degree of polynomials
The highest power of x in p(x) is called the degree of the polynomial p(x).
-Linear polynomial is a polynomial of degree 1
– Quadratic polynomial is a polynomial of degree 2
– Cubic polynomial is a polynomial of degree 3
General form of polynomial
Value of polynomial
If p(x) is a polynomial in x, if k is any real number, then the real number obtained by replacing x by k in p(x), is called the value of p(x) at x = k and is denoted by p(k).
Zero of a Polynomial
Zero of a polynomial p(x) is a real number k such that “p(k) = 0”
In general, p(x) = ax + b
⟹ p(x) = ax + b
But p(x) = ax + b
⟹ ak + b = 0
⟹ k = -b/a
It is clear that, zero of a linear polynomial is related to its coefficients.
Relationship between zeroes and coefficients of a polynomial
Geometric Meaning of the Zeroes of the Polynomial:
Let’s assume
Y= p (x), where p(x) is the polynomial of any form.
Now we can plot the equation y=p(x) on the Cartesian plane by taking various values of x and y obtained by purring the values. The plot or graph obtained can be of any shape.
The zeroes of the polynomial are the points where the graph meets the x-axis in the Cartesian plane. If the graph does not meet the x-axis, then the polynomial does not have any zeroes.
Let us take some useful polynomial and shapes obtained on the Cartesian plane
