Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i) 4x2–3x+7
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Answered by
2
(i) 4x
2
−3x+7
(ii) y
2
+
2
(iii) 3
t
+t
2
(iv) y+
y
2
(v) x
10
+y
3
+(i) In 4x
2
−3x+7. all the indies of x are whole numbers. So, it is a polynomial in one variable x.
(ii) In y
2
+
2
the index of y is a whole number. So, it is a polynomial in one variable y.
(iii) In 3
t
+t
2
=3t
2
1
+
2
t, here the exponent of first term is
2
1
, which is not whole number therefore is it not a polynomial.
(iv) In y+
y
2
=y+2y
−1
, here the exponent of first term is −1, which is not whole number, therefore, is it not a polynomial.
(v) In x
10
+y
3
+t
50
is not a polynomial in one variable as three variable x,y and t
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