Yes any constant or variable is a polynomial. To be most precise, 1 is a monomial meaning it has one term.
Any multiple of X^2+X/2-1/2
Yes, 18y3 + 2y2 + 1 is a polynomial; it is a cubic expression. If it were expanded to form an equation, then it would be a cubic equation (or higher), capable of solution.
B
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
Easy. Same thing as the graph of f(x) = x^2 + 1 which have NO intercept.
No. A polynomial has positive powers of the variable.
The degree of a polynomial is the highest exponent in the polynomial.
Both - a polynomial expression, if you like.
It isn't.
what kind of polynomial is shown 3x3+x+1
1+x2 is a polynomial and doesn't have a real root.
A polynomial with integer coefficients and a leading coefficient of 1 is called a monic polynomial. An example of such a polynomial is ( f(x) = x^3 - 4x^2 + 6x - 2 ). In this polynomial, all coefficients are integers, and the leading term ( x^3 ) has a coefficient of 1.
To square an expression, multiply it by itself. And to multiply a polynomial by a polynomial, multiply each part of one polynomial by each part of the other polynomial.
An expression of polynomial degree 1 is a linear polynomial, typically written in the form ( ax + b ), where ( a ) and ( b ) are constants, and ( a \neq 0 ). The highest power of the variable ( x ) in this expression is 1, indicating that the graph of this polynomial is a straight line. Examples include ( 2x + 3 ) and ( -5x - 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.
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime
A fifth degree polynomial.