1. Which of the following are polynomials in one variable ? Justify your answers.y^3+5y-√yii. 1/5x^-2 +5x+7iii. x^12+y^3+t^50 About the author Emery
Answer: Step-by-step explanation: 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 occur in it. Reply
Answer:
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Answer:
Step-by-step explanation:
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 occur in it.