State which of the following are polynomials and which are not. Give reasons.
(1)p²+1 (2)m²-root2m (3) 4ײ+1 by7 (4) x²-9
Answers
Step-by-step explanation:
Given :-
(1)p^2+1
(2)m^2-√2m
(3) 4x^2+1 /7
(4) x^2-9
To find :-
State which of the following are polynomials and which are not. Give reasons.
Solution :-
An algebraic expression having non negative integral powers of the variables present is called a polynomial.
(1) Given that : p^2+1
It is a polynomial because the variable (p) in the given expresion has positive power(2)
(2) Given that : m^2-√2m
It is a polynomial because the variable(m) in the given expresion has positive power(2)
(3)Given that :4x^2+1 /7
It is a polynomial because the variable(x) in the given expresion has positive power(2)
(4) Given that x²-9
It is a polynomial because the variable(x) in the given expresion has positive power(2)
Answer:-
1) Polynomial
2) Polynomial
3) Polynomial
4) Polynomial
Used formulae:-
Polynomial:-
An algebraic expression having non negative integral powers of the variables present is called a polynomial.
- The variable is not in the square root
- The variable is not in the denominator
- The variable has not a negative power.
- The variable has not a fractional power.