6x+5b+3, see related link for a thorough explanation of what a polynomial is.
A "root" of a polynomial is any value which, when replaced for the variable, results in the polynomial evaluating to zero. For example, in the polynomial x2 - 9, if you replace "x" by 3, or by -3, the resulting expression is equal to zero.
fundamental difference between a polynomial function and an exponential function?
Assuming you mean a fourth degree polynomial,P4 = x4 + 1P3 = x3 + 1P4*P3 = x7 + x4 + x3 + 1 is a seventh degree polynomial.
It can: For example, the linear polynomial 2x + 4 can be factorised into 2 times (x+2) So the question is inappropriate.
The smallest is 0: the polynomial p(x) = 3, for example.
An example of a polynomial with 3 terms is 3x3 + 4x + 20, because there are 3 different degrees of x in the polynomial.
3x2 - 2x + 3
6x+5b+3, see related link for a thorough explanation of what a polynomial is.
you foil it out.... for example take the first number or variable of the monomial and multiply it by everything in the polynomial...
an example of a three-term polynomial is: Ax2 + Bx + C. (that's Ax{squared})
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
A "root" of a polynomial is any value which, when replaced for the variable, results in the polynomial evaluating to zero. For example, in the polynomial x2 - 9, if you replace "x" by 3, or by -3, the resulting expression is equal to zero.
fundamental difference between a polynomial function and an exponential function?
It is nothing more than a polynomial that is equivalent to another, but has fewer terms. For an example, see Wikipedia, under "quartic equation".
A zero of a polynomial function - or of any function, for that matter - is a value of the independent variable (often called "x") for which the function evaluates to zero. In other words, a solution to the equation P(x) = 0. For example, if your polynomial is x2 - x, the corresponding equation is x2 - x = 0. Solutions to this equation - and thus, zeros to the polynomial - are x = 0, and x = 1.
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.