Question

EXERCISE 2.1
1. Which of the following expressions are polynomials in one variable and which are
not? state reasons for your answer ?
$1. 4x {}^{2} - 3x7$
$2.)y {}^{2} + \sqrt{2}$
$3.)3 \sqrt{t } + t \sqrt{2}$
$4.)y + \frac{2}{y}$


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Answer 1

Answer:

Heya Buddy I would like to help you in this problem.

solution:-

1) 4^2-3x+7 is a polynomial.

2) y^2+√2 is a polynomial

3) 3√t+t√2 is not a polynomial

4) y+2/y is not a polynomial

Step-by-step explanation:

1) In this equation,the indexes are 2,1 and 0 which are all whole numbers hence it is a polynomial.

2) In this equation,the indexes are 2 and 0 which are all whole numbers hence it is a polynomial.

3) In this equation,the index is 1/2 which isn't a whole number hence it is not a polynomial.

explanation:-

√t that is under its root so the index is 1/2.

4) In this equation,the indexes are 1 and -1 and -1 is not a whole number hence it isn't a polynomial.

explanation:-

y has index 1 .

2/y has index -1 if you do it in inverse or reciprocal i.e. -y/2.