A quadratic polynomial must have zeros, though they may be complex numbers.A quadratic polynomial with no real zeros is one whose discriminant b2-4ac is negative. Such a polynomial has no special name.
If the cubic polynomial you are given does not have an obvious factorization, then you must use synthetic division. I'm sure wikipedia can tell you all about that.
The values of the variables which make the polynomial equal to zero
In the real domain, yes. In the complex domain, no.
Either graph the polynomial on graph paper manually or on a graphing calculator. If it is a "y=" polynomial, then the zeroes are the points or point where the polynomial touches the x-axis. If it is an "x=" polynomial, then the zeroes are the points or point where the polynomial touches the y-axis. If it touches neither, then it has no zeroes.
when the equation is equal to zero. . .:)
A quadratic polynomial must have zeros, though they may be complex numbers.A quadratic polynomial with no real zeros is one whose discriminant b2-4ac is negative. Such a polynomial has no special name.
Polynomial fuction in standard form with the given zeros
by synthetic division and quadratic equation
Multiply x3 - 2x2 - 13x - 10
If the cubic polynomial you are given does not have an obvious factorization, then you must use synthetic division. I'm sure wikipedia can tell you all about that.
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
The polynomial is (x + 1)*(x + 1)*(x - 1) = x3 + x2 - x - 1
Since no polynomial was given, no answer will be given.
x2 + 15x +36
The values of the variables which make the polynomial equal to zero
Yes, the places where the graph of a polynomial intercepts the x-axis are zeros. The value of y at those places must be 0 for the polynomial to intersect the x axis.