Polynomials | Class 9 | Practice Set 3.1

Polynomials | Class 9 | Practice Set 3.1

Polynomials | Class 9 | Practice Set 3.1, examples based on the topics related to polynomials are solved in the attached pdf file.

Practice-Set-3.1

Examples based on the following topics are solved in this post –

(1) Identifying the polynomials.

(2) Finding the degree of the polynomial.

Also read : Sets | Class 9 | Practice Set 1.1

(3) Classification of polynomials on the basis of number of terms in the polynomial – Monomial, Binomial and Trinomial.

(4) Classification of the polynomials on the basis of their degree – Linear polynomial, Quadratic polynomial and Cubic polynomial.

(5) Writing the polynomial in standard form.

(6) Writing the polynomial in coefficient form.

The polynomial is that expression which has only one variable and the power of the variable in that expression are whole numbers.

The degree of the polynomial is the highest power of the variable in the given expression.

The examples solved in this article are given below –

Class 9 | Practice Set 3.1 :

(1) State whether the given algebraic expressions are polynomials ? Justify.
(i) y + 1/y (ii) 2 – 5 x (iii) x2 + 7x + 9 (iv) 2m-2 + 7m – 5 (v) 10

(2) Write the coefficient of m3 in each of the given polynomial.

(3) Write the polynomial in x using the given information.
(i) Monomial with degree 7 (ii) Binomial with degree 35 (iii) Trinomial with degree 8

(4) Write the degree of the following given polynomials.

(5) Classify the following polynomials as linear, quadratic and cubic polynomial.
(i) 2×2 + 3x + 1 (ii) 5p (iii) 2 y – 1 (iv) m3 + 7m2 + 5 (v) a2 (vi) 3r3

Also read : Sets | Class 9 | Practice Set 1.2

(6) Write the following polynomials in standard form.
(i) m3 + 3 + 5m (ii) – 7y + y5 + 3y3

(7) Write the following polynomials in coefficient form.
(i) x3 (ii) 5y (iii) 2m4

(8) Write the polynomials in standard form.
(i) (1, 2, 3) (ii) (5, 0, 0, 0, – 1) (iii) (- 2, 2, – 2, 2)

(9) Write the appropriate polynomials in the boxes.