Polynomials : Polynomials S.C.Benjamin
sc.benjamin@yahoo.com
Skype refractiveindex
Mob +9199199165771
Slide 2 : Following algebraic expressions are few polynomials
Slide 3 : Pick up algebraic expressions which are not polynomials
Zeroes of Polynomial : Zeroes of Polynomial Thus, 2 is a zero of polynomial p(x)
Slide 5 : Value of a Polynomial The value of p(x) at x = 4 is depicted as p(4) and
p(4) = 2
Slide 6 : It is convenient to express polynomials as follows :
Quadratic Polynomial Graph with two Zeroes : Quadratic Polynomial Graph with two Zeroes There are two points of
intersection of the graph with the
x-axis.Thus, there are two
zeroes of the polynomial. Zeroes
are x-coordinates of the points of
intersection. These are : - 2, 1.
This graph is for :
Quadratic Polynomial Graph with no Zero : Quadratic Polynomial Graph with no Zero This graph does not meet
x-axis at any point. Thus, it
has no zero.
This graph is for the
following polynomial :
Quadratic Polynomial Graph with one Zero : Quadratic Polynomial Graph with one Zero There is just one point of
intersection of the graph
and the x-axis.
Co-ordinates of this point
are (1, 0)
The x-coordinate, 1, is the
zero of this polynomial.This
graph corresponds to following
polynomial :
Quadratic Polynomial Graph : Quadratic Polynomial Graph The Graph is a Parabola
Zeroes of the polynomial whose graph is this are : - 2 and 3
This is a graph of following polynomial :
Cubic Polynomial Graph : Cubic Polynomial Graph The graph shown here is
the graph of : Zeroes of polynomial are
- 3, - 1 and 1
Graph of a Plynomial of Degree 4 : Graph of a Plynomial of Degree 4 This is a graph of a polynomial of degree 4. Thus, it has 4 zeroes. Note that the graph cuts x-axis at 4 points. The four zeroes are : - 2, -1, 1, and 2. This is a graph
of :
Thank you for watching thisPresentation : Thank you for watching thisPresentation My email : sc.benjamin@yahoo.com
My Skype ID : refractiveindex
My Mobile : +91991991677
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