# Telangana SCERT Class 9 Math Solution Chapter 2 Polynomials and Factorisation Exercise 2.1

## Telangana SCERT Solution Class IX (9) Math Chapter 2 Polynomials and Factorisation Exercise 2.1

(1) (i) x5 – x4 + 3

The highest power of the 3 terms is 5.

So, the degree of the above polynomial is 5.

(ii) x2 + x – 5

The highest power of the 3 terms is 2.

∴ The degree of the polynomial is 2.

(iii) 5

Now, 5 can be written as 5x0 (∵ x0 = 1)

∴ The degree of the polynomial is 0.

(iv) 3x6 + 6y3 – 7

The degree of the polynomial is 6.

(v) 4 – y2

The degree of the polynomial is 2,

(vi) 5t – √3

The degree of the polynomial is 1.

(2) (i) 3x2 – 2x + 5 is one variable polynomial since the only variable in the polynomial is x.

(ii) x2 + 2 is one variable polynomial since the only variable in the polynomial is x.

(iii) P2 – 3p + q is a two variable polynomial since there are two variable p and q in the polynomial.

(iv) y + 2/y is a one variable polynomial since there are is only one variable ‘y’ in the polynomial.

(v) 5x + x5 is a one variable polynomial since there is only one variable ‘x’ in the polynomial.

(vi) x100 + y100 is a two variable polynomial as there are two variables x and y in the polynomial.

(3) (i) x3 + x + 1

Coefficient of x3 is 1.

(ii) 2 – x3 + x2

Coefficient of x3 is -1

(iii) √2x3 + 5

Coefficient of x3 is 2

(iv) 2x3 + 5

Coefficient of x3 is 2.

(v) π/2 x3 + x

Coefficient of x3 is π/2

(vi) -2/3 x3

Coefficient of x3 is -2/3

(vii) 2x2 + 5 ‘

or, 2x2 + 5 + 0 X x3

Coefficient of x3 is 0.

(viii) 4

Or, 0 X x3 + 4

Coefficient of x3 is 4

(4) (i) 5x2 + x – 7 is a quadratic polynomial having highest degree 2.

(ii) x – x3 is a cubic polynomial having highest degree 3.

(iii) x2 + x + 4 is a quadratic polynomial having highest degree 2.

(iv) x – 1 is linear polynomial having highest degree 1

(v) 3p is a linear polynomial having highest degree 1.

(vi) πr2 is a quadratic polynomial having highest degree 2.

(5.) (i) A binomial has two terms

Ans. True.

(ii) Every polynomial is a binomial

Ans. False.

(iii) A binomial may have degree 3

Ans. True.

(iv) Degree of zero polynomial is zero

Ans. False.

(v) The degree of x2 + 2xy + y2 is 2

Ans. True.

(vi) πr2 is a monomial

Ans. True.

(6) Monomial of degree 10 is 4x10

Trinomial of degree 10 is 5x10 + x6 + 3.

Updated: September 18, 2021 — 4:40 pm

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