Question

solve quickly............​

Answer 1

Answer:

Step-by-step explanation:

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

Ans. (i)  4x² - 3x  + 7

We can observe that in the polynomial 4x² - 3x  + 7, we have x as the only variable and the powers of x in each term are a whole number.

Therefore, we conclude that 4x² - 3x  + 7 is a polynomial in one variable.  

(ii)  y² + √2

We can observe that in the polynomial y² + √2, we have y as the only variable and the powers of y in each term are a whole number.

Therefore, we conclude that y² + √2 is a polynomial in one variable.

(iii)  3√t + t√2

We can observe that in the polynomial 3√t + t√2, we have t as the only variable and the powers of t in each term are not a whole number.

Therefore, we conclude that 3√t + t√2 is not a polynomial in one variable.

(iv)  y + 2/y

We can observe that in the polynomial y + 2/y , we have y as the only variable and the powers of y in each term are not a whole number.

Therefore, we conclude that y + 2/y is not a polynomial in one variable.

(v)  10¹⁰ + y³ + t⁵⁰

We can observe that in the polynomial  10¹⁰ + y³ + t⁵⁰ , we have x, y and t as the variables and the powers of x, y and t in each term is a whole number.

Therefore, we conclude that  10¹⁰ + y³ + t⁵⁰ is a polynomial but not a polynomial in one variable.