Question

polynomials in more than one variable. For example, x! + Y
So far we have dealt with polynomials
are p, q and r), u + y (where the variables are u and v) are polynomials in three and two
x, y and z) is a polynomial in three variables. Similarly p +9"+r (where
variables, respectively. You will be studying such polynomials in detail later.
1. Which of the following expressions are polynomials in one variable and which are not?
polynomial? The degree of
State reasons for your answer.
(i) 4x2 – 3x + 7 (ii) y2 + 2
2
(v) xº + y + + 250
(iv) y +
(iii) 3 V1 + 2
2​

Answer 1

i can't understand your answer

Answer:

ok

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.

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