Question

The number of zeroes is 1 as the graph intersects the x axis at one point only. Claas 10






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Answer 1

The Number of all real roots roots of any polynomial function is given by the Number of points it intersects the x axis, i.e., the number of real x such that the value of polynomial is zero. and hence, tell us about the degree.

But this is only true when all the roots are real and none of them are non real complex.

• A linear function has exactly one root if the coefficient of x and the constant is a real number.
• A parabola, (A quadratic function) may have, Two, or Zero real roots. If the graph intersects the x axis at no point, then no roots are real. If the graph intersects the x axis at one point, then there are two equal roots and the quadratic function is a perfect square. and if the x axis is intersected twice, then two disctinct roots
• A cubic function may have 1, or 3 real roots. If the graph intersects x axis only once, then there is one real root. If graph's vertex intersects x axis twice, then there are two equal and one distinct real root. If the curve intersects x axis thrice then there are three distinct real roots. Special Case is the one when, the graph intersects only once, and there is seemingly no vertex, then the three roots are real and equal and the cubic function is a perfect cube.

And, so on for the other functions.