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Is y plus 2y plus y a polynomial?
YES! A polynomial is made up of terms that are only added, subtracted or multiplied. Division is not allowed. It may have constants, exponents or variables. A monomial is one type of polynomial. y+2y is the same as 4y which is a monomial. It has degree 1 since the exponent on y is 1.
Why the graph of a polynomial function with real coefficients must have a y-intercept but may have no x-intercept?
For a polynomial of the form y = p(x) (i.e., some polynomial function of x), having a y-intercept simply means that the polynomial is defined for x = 0 - and a polynomial is defined for any value of "x". As for the x-intercept: from left to right, a polynomial of even degree may come down, not quite reach zero, and then go back up again. A simple example is y = x2 + 1. Why is the situation for "x" and for "y" different? Well, the original equation is a polynomial in "x"; but if you solve for "x", you don't get a polynomial in "y".
How do you graph a polynomial in order to solve for the Zeros?
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.
What is y squared minus thirteen y add twelve?
It is: y^2 -13y +12 = (y-1)(y-12) when factored
What is linear polynomial?
A polynomial with a degree of one, of the form y = ax + b, where a and b are constants.
