Square :)
square
Actually, it is easier to define a polynomial as a function of a variable, x, in the form:p(x) = anxn + an-1xn-1 + ... + a2x2 + a1x + a0 where n is an integer and the ai are constants. A non-polynomial, then, is any function of x which contains one or more terms in x which are not in the form akxk.
2
Here is an intuitive method for working this polynomial problem, which can be solved as easily as adding apples to apples and oranges to oranges. Think of the same-named variables and variable pairs as different "things." In this example, each polynomial contains none or one or more of these three different things: "ax", "by", and "c". So all we need to do is add (or subtract) up the "ax"s, then the "by"s, and then the "c"s and write it down. ax: 1 in the first polynomial + 2 in the second + none (0) in the third = 3 "ax"s. by: 1 in the first polynomial - 3 in the second +1 in the third = -1 "by"s. c: 1 in the first polynomial + 1 in the second - 1 in the third = 1 "c". The answer is the polynomial made up of the three results above: 3ax - 1by + 1c = 3ax - by + c
It depends on what it contains: none, if it is empty!It depends on what it contains: none, if it is empty!It depends on what it contains: none, if it is empty!It depends on what it contains: none, if it is empty!
square
more than one variable
An equation of the second degree, meaning it contains at least one term that is squared.
An equation consisting of polynomials where one of the terms contains the unknown value squared. This is known as a quadratic equation. Hello Mr E.Bs class in Sgoil Lionacleit!
Some do and some don't. It's possible but not necessary.
No. A polynomial is an expression of more than two algebraic terms, and usually contains different powers of the same variable.
If it doesn't have an equal sign, then it's an expression, not an equation. The expression 7x2x is quadratic, because it equals 14x², and something is quadratic if it contains the squared exponent ².
Yes, since the expression contains more than one variable, then 2x+5y+2 is a polynomial.
Actually, it is easier to define a polynomial as a function of a variable, x, in the form:p(x) = anxn + an-1xn-1 + ... + a2x2 + a1x + a0 where n is an integer and the ai are constants. A non-polynomial, then, is any function of x which contains one or more terms in x which are not in the form akxk.
2
No, it's a cubic equation. A quadratic equation contains, as its term raised to the highest power, a square. Example: x2. A cubic equation contains, as its term raised to the highest power, a cube. Example: x3. A quartic equation contains, as its term raised to the highest power, a term raised to the fourth power. Example: x4. Quintic, x5. And so, on.
Header linked list are frequently used for maintaining polynomials in memory. The header node plays an important part in this representation, since it is needed to represent the zero polynomial. This representation of polynomial will be presented in the context of a specific