Question

6) which of the following is not a polynomial?
a) x²+√2x+3 b)x²+√2x+6 c)x³+3x²-3. d)6x+4​

Answer 1

x²+√2x+3  and x²+√2x+6  are expressions that are not polynomial. (Option a and Option b)

• For the algebraic expression to be called a  polynomial, the exponents in the algebraic expression should be non-negative integers. Also if an algebraic expression has a radical in it then it can not be called a polynomial.

• x²+√2x+3. This expression is not a polynomial as the polynomial expression does not contain any radicals. √2 here is a radical root.

       ⇒   Hence, option a is not a polynomial expression.

• x²+√2x+6.This expression is also not a polynomial expression as it has a radical √2 present in the expression.

       ⇒   Hence, option b is not a polynomial expression.

• x³+3x²-3. This expression can be termed as a polynomial expression since all of the variables have positive integer exponents.

      ⇒    Hence, option c is a polynomial expression.

• 6x+4​. This expression is also a polynomial expression as all of the variables have positive integer exponents.

       ⇒   Hence option d is a polynomial expression.

Answer 2

Step-by-step explanation:

x^2+√2x+3 and x^2+√2x+6

is not a polynomial because in this expression the root is there