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31.05.2021, adminIf x be a variable and x be a positive integer with a 1 , a 2 , a 3 , ��. The exponent of the highest degree term in a polynomial is called its degree. Let us see the different types of polynomials. Constant Polynomial: It is a polynomial of degree zero.
Linear Polynomial: It is a polynomial of degrees. Note: A linear polynomial may be a monomial having only one term. Quadratic Polynomial: It is a polynomial of degree 2. Cubic Polynomial: A polynomial of degree 3 is called a cubic polynomial.
This graph is a smooth free hand curve, passing through the points x 1 , y 1 , x 2 , y 2 , x 3 ,y 3 , ��, etc. Geometrical meaning of the zeroes of a linear polynomial. We make a table with values of y corresponding to different values of x. Image to be added soon. The points A 0, 1 and B 2, 6 are plotted on the graph paper on a suitable scale.
A line drawn runs through these points to derive the graph of the given polynomial. We construct a table containing the values of y corresponding to various values of x:. We now plot the points -4, 16 , -3, 7 , -2, 0 , -1, -5 , 0 -8 , 1, 9 , 2, 8 , 3, -5 , 4, 0 , 5, 7 and 6, 16 on a graph paper and draw a smooth free hand curve passing through these points. Such a curve is called a parabola. The lowest point of the graph 1, 9 is called the vertex of the parabola.
This line is called the axis of the parabola. For a polynomial of degree n, the number of zeroes can be utmost n or less. For example, for a quadratic, polynomial the no. From i , we get. From iii and iv , we get. Sum of two zeroes of a polynomial of degree 4 is -1 and their product is Find the polynomial. Since, degree of p x is 4.
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