Table of Contents
Is y+ 2 ya polynomial?
y + (2/y) can be written as y + 2y–1 . Here in the second term, power of y is negative and according to the definition of polynomials, for a equation to be a polynomial, degree has to be positive. So, the given equation is not a polynomial.
Is Y 2 by Y a polynomial in one variable?
It is not a polynomial in one variable. (y+2)/y is (y+2)×y to the power (-1). So, it is not a polynomial.
Is Y is a polynomial?
Answer: Since, the given expression has only one variable ‘y’, hence this is a polynomial in one variable. [Exponent of a variable in a polynomial must be a whole number. Expression with exponent of a variable in fraction is not considered as a polynomial.]
Which one is not polynomial?
All the exponents in the algebraic expression must be non-negative integers in order for the algebraic expression to be a polynomial. As a general rule of thumb if an algebraic expression has a radical in it then it isn’t a polynomial.
How do you know if it’s not a polynomial?
What is not considered a polynomial?
Polynomials cannot contain fractional exponents. Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials. Polynomials cannot contain radicals. For example, 2y2 +√3x + 4 is not a polynomial.
Why is Y 2 Y not a polynomial in one variable?
y + 2y-1 is not a polynomial since the power of the variable in the second term is -1 which is not a whole number.
What are polynomials Class 9?
Polynomial Definition. Polynomials are expressions with one or more terms with a non-zero coefficient. A polynomial can have more than one term. In the polynomial, each expression in it is called a term. Suppose x2 + 5x + 2 is polynomial, then the expressions x2, 5x, and 2 are the terms of the polynomial.
Is Y Y 3 a polynomial?
No. y cannot be in the denominator. it’s not a polynomial.
What are the exponents of the polynomial 7x2y2?
The exponents in the first term, 7x2y2, are 2 (from 7×2) and 2 (from y2) which add up to four. The second term (5y2x) has two exponents. They are 2 (from 5y2) and 1 (from x, this is because x is the same as x1.)
Can a polynomial have more than one variable?
Polynomials can have no variable at all. Example: 21is a polynomial. It has just one term, which is a constant. Or one variable. Example: x4 − 2×2 + x has three terms, but only one variable (x) Or two or more variables. Example: xy4 − 5x2z has two terms, and three variables (x, y and z)
Which is an example of a polynomial with only two terms?
Binomials – these are polynomials that contain only two terms (“bi” means two.) 5x+1 and y-7 are examples of binomials. Trinomials – a trinomial is a polynomial that contains three terms (“tri” meaning three.) 2y+5x+1 and y-x+7 are examples of trinomials.
When do you add a polynomial do you get the same degree?
To add polynomials, always add the like terms, i.e. the terms having the same variable and power. The addition of polynomials always results in a polynomial of the same degree.