Question

x+1 divided by 2x cube +4x square+5x+1

Answer 1

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

                ⇒ 4x2 – 3x + 7x°

                ∵ All the exponents of x are whole numbers.

                ∴ 4x2 – 3x + 7 is a polynomial in one variable.

         (ii)   

                 

                ∵ All the exponents of y are whole numbers.

                ∴  is a polynomial in one variable.

         

         

         (v)   x10 + y3 + t50

                ∵; Exponent of every variable is a whole number,

                ∴ x10 + y3 + t50 is a polynomial in x, y and t, i.e. in three variables.

2.  Write the co-efficients of x2 in each of the following:

         (i)   2 + x2 + x

         (ii)   2 – x2 + x3

         (iii)   

         (v)   

Ans. (i)   2 + x2 + x

                The co-efficient of x2 is 1.

         (ii)   2 – x2 + x3

                The co-efficient of x2 is (–1).

         (iii)   

                The co-efficient of x2 is 

         (iv)   

                

                ∴  The co-efficient of x2 is 0

Answer 2

Answer:

        (i) 4x2 – 3x + 7

               ⇒ 4x2 – 3x + 7x°

               ∵ All the exponents of x are whole numbers.

               ∴ 4x2 – 3x + 7 is a polynomial in one variable.

        (ii)    

                 

               ∵ All the exponents of y are whole numbers.

               ∴  is a polynomial in one variable.

         

         

        (v)   x10 + y3 + t50

               ∵; Exponent of every variable is a whole number,

               ∴ x10 + y3 + t50 is a polynomial in x, y and t, i.e. in three variables.

Explanation:

Here are some examples solve them you will understand the concept and can solve the other question you self.

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