The number of zeroes is one as the graph intersects the x-axis at only one point. Solution: The polynomial is linear as the graph is a straight line. The number of zeroes is one as the graph intersects the x-axis at one point only (two coincident points). Case 1: When b and c are both positive EXAMPLE 1 Factor and solve the equation x 2 + 5 x + 6 0. Solution: Here, the polynomial is quadratic as the graph is a parabola. Factor quadratic polynomials when the coefficient of x is equal to 1 To factor a quadratic equation of the form x 2 + b x + c, where the leading coefficient is 1, we need to identify two numbers so that their product equals c and their sum equals b. Solution: Polynomial is neither linear nor quadratic as the graph is neither a straight line nor a parabola is one as the graph intersects the x-axis at one point only. The number of zeroes is zero, as the graph does not intersect the x-axis. Solution: The polynomial is quadratic as the graph is a parabola. The number of zeroes is 1 as the graph intersects the x-axis at one point (two coincident points) only. Solution: The polynomial is quadratic as the graph is a parabola. The number of zeroes is zero as the graph does not intersect the x-axis. Solution: The polynomial is linear as the graph is straight line. The number of zeroes is two as the graph intersects the x-axis at two points. Solution: Here, the polynomial is quadratic as the graph is a parabola. Solution: Here the polynomial is quadratic as the graph is a parabola.
So, this is the graph of quadratic polynomial. The number of zeroes is one as the graph intersects the x-axis at one point only.
Solution: The graph is a straight line so the graph is of a linear polynomial. Engineering - Data Structure & AlgorithmsĮxample: Which of the following correspond to the graph to a linear or a quadratic polynomial and find the number of zeroes of polynomial.Engineering - Data Communication & Networks.Engineering - Database Management System.Physics Class 12 Practical Viva Questions.
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