Question

royal.
Q21 ) A teacher asked 10 of his students to write a polynomial in one variable on a paper and then to handover the paper. The following were the answers given by the students :

Answer 1

Answer:

Step-by-step explanation:

i) Out of ten given algebraic expressions, three are not polynomials.

ii) Out of ten given algebraic expressions, only one is quadratic polynomial.

Answer 2

Out of ten given algebraic expressions, three are not polynomials and only one is quadratic polynomial.

• $x^{3}+\sqrt{3x} +7$ is not a polynomial as it contains fractional power of x. $2x^{2} +3-\frac{5}{x}$ is also not a polynomial as it contains negative integral power of x. Similarly $x+\frac{1}{x}$ is not a polynomial for similar reasons. So there are three algebraic expressions which are not polynomials.
• $3x^{2} +7x+2$ is the quadratic polynomial as it contains second degree power of x. So there is only one algebraic expression in the given list which is a quadratic polynomial.