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.
To determine whether a polynomial is a monomial, binomial, or trinomial, you need to count the number of terms it contains. A monomial has one term, a binomial has two terms, and a trinomial has three terms. If you provide the specific polynomial in question, I can help classify it accordingly.
The polynomial ( abcd e - h^2 ) contains two terms: ( abcd e ) and ( -h^2 ). Each term is separated by the subtraction operator, indicating distinct components of the polynomial. Thus, the total number of terms is 2.
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.
The expression ( Fx^2 + 6x + 9 ) is quadratic if it is in the standard form ( ax^2 + bx + c ), where ( a ), ( b ), and ( c ) are constants, and ( a \neq 0 ). If ( F ) is not equal to zero, then the expression is indeed quadratic, as it contains the ( x^2 ) term. If ( F ) is zero, it would no longer be quadratic. Therefore, assuming ( F \neq 0 ), ( Fx^2 + 6x + 9 ) is a quadratic expression.