Hey there! We receieved your request. A polynomial is an expression consists of constants, variables and exponents. Let P y is a polynomial in y, then the highest ffffcc power of y in the P y will be the degree of polynomial P y. Zeroes of the polynomials are the x coordinates of the point where the graph of that polynomial intersects the x-axis. Graph of a linear polynomial is a straight line which intersects the x-axis at one point only, so a linear polynomial has 1 degree.
Case 1 : When the graph cuts the x-axis at the two points than these two points are the two zeroes of that quadratic polynomial. Case 2 : When the graph cuts the x-axis at only one point then that particular point is the zero of that quadratic polynomial and the equation is in the form of a perfect square.
Case 3: When the graph does not intersect the x-axis at any point i. Hence the quadratic polynomial can have either two zeroes, one zero or no zero. Or you can say that it can have maximum two zero only. Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians. Please choose valid name. Please Enter the valid Email. Select Grade 6th 7th 8th 9th 10th 11th 12th 12th Pass Please choose the valid grade.
We receieved your request Stay Tuned as we are going to contact you within 1 Hour Close. Thank you for registering. One of our academic counsellors will contact you within 1 working day. Please check your email for login details. Studying in Grade 6th to 12th? Registration done! Sit and relax as our customer representative will contact you within 1 business day Continue. Revision Notes on Polynomials A polynomial is an expression consists of constants, variables and exponents.
Geometrical meaning of the Zeroes of a Polynomial Zeroes of the polynomials are the x coordinates of the point where the graph of that polynomial intersects the x-axis. Graph of a Linear Polynomial Graph of a linear polynomial is a straight line which intersects the x-axis at one point only, so a linear polynomial has 1 degree.
Graph of Quadratic Polynomial Case 1 : When the graph cuts the x-axis at the two points than these two points are the two zeroes of that quadratic polynomial. Case 2 : When the graph cuts the x-axis at only one point then that particular point is the zero of that quadratic polynomial and the equation is in the form of a perfect square Case 3: When the graph does not intersect the x-axis at any point i. Course Features.
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