Question

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

(i) 4x2 - 3x + 7

(ii) y2 + √2

(iii) 3√t + t√2

(iv) y + 2/y

(v) x10 + y3 + t50

Answer 1

1) Yes
2) Yes
3) No. It is not a polynomial, Because the variable is not a whole number
4) No. They aren't a polynomial because the variable won't come in the denominator
5) No. It is a polynomial but it has 3 variables

Therefore, 1 & 2 are the polynomial and 5 is a polynomial but it has 3 different variables (x,y&t)

Hope it helps u.. pls mark my answer as brainliest if it is crt and relevant to ur question :)

Answer 2

Question :-

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

(i) 4x^2 – 3x + 7

(ii) y^2 + √2

(iii) 3 √t + t√2

(iv) y+ 2/y

(v) x^10+ y^3+t^50

Answer :-

(i) We have 4x^2 – 3x + 7 = 4x^2 – 3x + 7x^0

It is a polynomial in one variable i.e., x

because each exponent of x is a whole number.

(ii) We have y^2 + √2 = y^2 + √2y^0

It is a polynomial in one variable i.e., y

because each exponent of y is a whole number.

(iii) We have 3 √t + t√2 = 3 √t^1/2 + √2.t

It is not a polynomial, because one of the exponents of t is 1/2,

which is not a whole number.

(iv) We have y + y+2/y = y + 2.y^-1

It is not a polynomial, because one of the exponents of y is -1,

which is not a whole number.

(v) We have x^10+  y^3 + t^50

Here, exponent of every variable is a whole number, but x^10 + y^3 + t^50 is a polynomial in x, y and t, i.e., in three variables.

So, it is not a polynomial in one variable.

Plz mrk as brainliest ❤