A root is the value of the variable (usually, x) for which the polynomial is zero. Equivalently, a root is an x-value at which the graph crosses the x-axis.
A value of the variable when the polynomial has a value of 0. Equivalently, the value of the variable when the graph of the polynomial intersects the variable axis (usually the x-axis).
1+x2 is a polynomial and doesn't have a real root.
No,
5
The degree is equal to the maximum number of times the graph can cross a horizontal line.
a
B
a
A root or a zero of the polynomial.
A value of the variable when the polynomial has a value of 0. Equivalently, the value of the variable when the graph of the polynomial intersects the variable axis (usually the x-axis).
A root.
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.
It is a polynomial of odd power - probably a cubic. It has only one real root and its other two roots are complex conjugates. It could be a polynomial of order 5, with two points of inflexion, or two pairs of complex conjugate roots. Or of order 7, etc.
When graphing polynomials, the x-intercepts of the curve are called the "roots" or "zeros" of the polynomial. These are the values of x for which the polynomial equals zero. Each root corresponds to a point where the graph crosses or touches the x-axis. The multiplicity of each root can affect the behavior of the graph at those intercepts.
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
1+x2 is a polynomial and doesn't have a real root.
false