Question

15 X + y whole square - 5 x minus 5 y

Answer 1

Give one example each of a binomial of degree 35, and of a monomial of degree 100.

Ans. (i)   A binomial of degree 35 can be: 3x35 – 4

         (ii)   A monomial of degree 100 can be: 

4.  Write the degree of each of the following polynomials:

         (i)   5x3+ 4x2 + 7x

         (ii)   4 - y2

         (iii)   

         (iv)   3

Ans. (i)   5x3 + 4x2 + 7x

                ∵ The highest exponent of x is 3.

                ∴ The degree of the polynomial is 3.

         (ii)   4 – y2

                ∵ The highest exponent of y is 2.

                ∴ The degree of the polynomial is 2.

         (iii)   

                ∵ The highest exponent of t is 1.

                ∴ The degree of the polynomial is 1.

         (iv)   3

                since, 3 = 3x°

                ∴ The degree of the polynomial 3 is 0.

5.  Classify the following as linear, quadratic and cubic polynomials:

         (i)   x2 + x

         (ii)   x – x3

         (iii)   y + y2 + 4

         (iv)   1 + x

         (v)   3t

         (vi)   r2

         (vii)   7x3

Ans. (i)   x2 +x

                ∵ The degree of x2 + x is 2.

                ∴ It is a quadratic polynomial.

         (ii)   x – x3

                ∵ The degree of x – x3 is 3.

                ∴ It is a cubic polynomial.

         (iii)   y + y2 + 4

                ∵ The degree of y + y2 + 4 is 2.

                ∴ It is a quadratic polynomial.

         (iv)   1 + x

                ∵ The degree of 1 + x is 1.

                ∴ It is a linear polynomial.

         (v)   3t

                ∵ The degree of 3t is 1.

                ∴ It is a linear polynomial.

         (vi)   r2

                ∵ The degree of r2 is 2.

                ∴ It is a quadratic polynomial.

         (vii)   7x3

                ∵ The degree of 7x3 is 3.

                ∴ It is a cubic polynomial.

Answer 2

Answer is (15x+y)^2-5x-5y

225x^2+y^2+30xy-5x-5y