2x^2-x+5 which of the following expression are polynomials in a single variable and which are not give reason for your anwers
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Answer:
Which of the following expression are polynomials in one variable and which are non? Give reasons for your answer.
(i) 3x
2
−2x+5
(ii) x
2
+
2
(iii) p
2
−3p+q
(iv) y+
y
2
(v) 5
x
+x
5
(vi) x
100
+y
100
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ANSWER
(i)3x
2
−2x+5 Polynomial is one variable
Here x is the only variable.
(ii)x
2
+
2
Polynomial is one variable
Here x is the only variable.
(iii)p
2
−3p+q Polynomial with two variables.
Here p&q are variables.
(iv)y+
y
2
Not a polynomial
∵y is having −ve power in second term.
(v)5
x
+x
5
Not a polynomial
∵x is having fractional power in first term.
(vi)x
100
+y
100
Polynomial with two variables.
Here x&y are variables.
Step-by-step explanation:
any answer is matched from the answer