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9th class > Polynomials > Exercise 2.1

Exercise 2.1

  1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

Instructions

4x23x+7
y2+2
3t+t2
y+2y
x10+y3+t50
Polynomial
Not a Polynomial
  1. Write the coefficients of x2 in each of the following:

Instructions

(i)2+x2+x: coefficient is .
(ii)2x2+x3: coefficient is .
(iii)π2x2+x: coefficient is .
(iv) 2x1: coefficient is .
We have found the solutions.
  1. Give one example each of a binomial of degree 35, and of a monomial of degree 100.

Binomial:

Monomial:

  1. Write the degree of each of the following polynomials.

(i) 5x3+4x2+7x :

(ii) 4y2:

(iii) 5t7:

(iv) 3:

  1. Classify the following as linear, quadratic and cubic polynomials.

(i) x2+x:

(ii)xx3:

(iii)y+y2+4:

(iv) 1+x:

(v) 3t:

(vi)r2:

(vii)7x3: