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.
If there is one variable. Then put each variable equal to zero and then solve for the other variable.
It depends on what you wanted to do - graph it, solve it, factorise it, etc.
Can be done.
Standard Form
Find values of the variable for which the value of the polynomial is zero.
The graph of a polynomial in X crosses the X-axis at x-intercepts known as the roots of the polynomial, the values of x that solve the equation.(polynomial in X) = 0 or otherwise y=0
If there is one variable. Then put each variable equal to zero and then solve for the other variable.
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
It depends on what you wanted to do - graph it, solve it, factorise it, etc.
Can be done.
Standard Form
You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.
Find values of the variable for which the value of the polynomial is zero.
You could graph this Polynomial by using substution to solve for two points..which will define a line. If x=16, then y=0, If x=0, then y=8. Graph this line and you have the solution set for the equation.
To efficiently solve complex polynomial equations using the Wolfram Polynomial Calculator, input the polynomial equation you want to solve into the calculator. Make sure to include all coefficients and variables. The calculator will then provide you with the solution, including real and complex roots, if applicable. You can also adjust the settings to customize the output format and precision of the results.
If the roots are r1, r2, r3, ... rn, then coeff of x^(n-1) = -(r1+r2+r3+...+rn) and constant coeff = (-1)^n*r1*r2*r3*...*rn.
If you have the zeros of a polynomial, it is easy, almost trivial, to find an expression with those zeros. I am not sure I understood the question correctly, but let's assume you have the zero 2 with multiplicity 2, and other zeros at 3 and 5. Just write the expression: (x-2)(x-2)(x-3)(x-5). (Example with a negative zero: if there is a zero at "-5", the factor becomes (x- -5) = (x + 5).) You can multiply this out to get the polynomial if you like. For example, if you multiply every term in the first factor with every term in the second factor, you get x2 -2x -2x + 4 = x2 -4x + 4. Next, multiply each term of this polynomial with each term of the next factor, etc.