A polynomial is defined as an expression that is composed of variables, constants, and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).
(i) 4x²+2x-1 - This is a polynomial
(ii) y+4/y- this is not a polynomial because the power of y is negative.
(iii) x³-1 -This is a polynomial
(iv) y²+5y-1- This is a polynomial
is not a polynomial, since one of the powers of 'x' is a fraction and the other is negative
In accordance with the information provided in the question,
Given the data in question which one is not a polynomial (i) 4x²+2x-1 (ii) y+4/y (iii) x³-1 (iv) y²+5y-1
As we get,
(1 )[tex]4x^{2} +2x-1[/tex] it is polynomial
(2)[tex]y+4/4[/tex] because the power of y is negative, this is not a polynomial.
(3)[tex]x^{3} -1[/tex] this is a polynomial equation.
(4)[tex]y^{2} +5y-1[/tex] this is a polynomial equation.
A polynomial is a mathematical equation made up of variables, constants, and exponents that are mixed using operations like addition, subtraction, multiplication, and division (No division operation by a variable)
Answers & Comments
Answer:
(ii) y+4/y is not a polynomial.
Step-by-step explanation:
A polynomial is defined as an expression that is composed of variables, constants, and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).
(i) 4x²+2x-1 - This is a polynomial
(ii) y+4/y- this is not a polynomial because the power of y is negative.
(iii) x³-1 -This is a polynomial
(iv) y²+5y-1- This is a polynomial
is not a polynomial, since one of the powers of 'x' is a fraction and the other is negative
Answer:
This is not a polynomial [tex]y+4/y[/tex]
Step-by-step explanation:
In accordance with the information provided in the question,
Given the data in question which one is not a polynomial (i) 4x²+2x-1 (ii) y+4/y (iii) x³-1 (iv) y²+5y-1
As we get,
(1 )[tex]4x^{2} +2x-1[/tex] it is polynomial
(2)[tex]y+4/4[/tex] because the power of y is negative, this is not a polynomial.
(3)[tex]x^{3} -1[/tex] this is a polynomial equation.
(4)[tex]y^{2} +5y-1[/tex] this is a polynomial equation.
A polynomial is a mathematical equation made up of variables, constants, and exponents that are mixed using operations like addition, subtraction, multiplication, and division (No division operation by a variable)
Hence this is not a polynomial [tex]y+4/y[/tex]