Question

Identify the linear polynomials among the following.

1. $\frac{1}{x-1}$

2. $\sqrt{x}+2$

3. $\sqrt{3}x+5$

4. $y+\sqrt{2}$

• A. 1, 2 and 3
• B. 3 and 4
• C. 2 and 3
• D. 1 and 2

Answer 1

Answer: (B)

3 and 4

For a linear polynomial, the degree of the variable in the polynomial should be 1.

1. $\frac{1}{x-1}$ – Power of x is not 1. So, not a polynomial.

2. $\sqrt{x}+2$ – Power of the x is $\frac{1}{2}$ . It’s not an integer. So it is not a polynomial.

3. $\sqrt{3}x+5$ – Power of x is 1 – Linear polynomial.

4. $y+\sqrt{2}$ – Power of y is 1 – Linear polynomial.