Math, asked by sanidhyapadhy, 9 months ago

Which of the following expresions are polynomials in one variable and which are not? State reasons for your answer.
(i) 4x^2 - 3x + 7
(ii) y^2 + root 2
(iii) 3 root t + t root 2
(iv) x^10 + y^3 + t^50

This question from NCERT Class 9 Exercise 2.1 1st question

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Answered by k047

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Answered by av3404561

Answer:

1) 4x^2-3x+7

Step-by-step explanation:

(1)4x2 – 3x + 7 = 4x2 – 3x + 7x0

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

because each exponent of x is a whole number.

(2)y2 + √2 = y2 + √2y0

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

because each exponent of y is a whole number.

(3)3√t + t√2 = 3 √t1/2 + √2.t

It is in one variable but not a polynomial as it contain (t^1/2) in which power is not a whole number.

(4)x10+ y3 + t50

Here, exponent of every variable is a whole number, but x10 + y3 + t50 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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Which of the following expresions are polynomials in one variable and which are not? State reasons for your answer. (i) 4x^2 - 3x + 7 (ii) y^2 + root 2 (iii) 3 root t + t root 2 (iv) x^10 + y^3 + t^50 This question from NCERT Class 9 Exercise 2.1 1st question

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Which of the following expresions are polynomials in one variable and which are not? State reasons for your answer.
(i) 4x^2 - 3x + 7
(ii) y^2 + root 2
(iii) 3 root t + t root 2
(iv) x^10 + y^3 + t^50

This question from NCERT Class 9 Exercise 2.1 1st question