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

Solution:

i) A binomial of degree 35.

Binomial is defined as an algebraic expression having only 2 terms in its most simplified form. For a degree 35 binomial, the highest power of the variable should be 35. So, the binomial will be in the form of ax³⁵- bx^c, where a ≠ 0, b ≠ 0 and 0 ≤ c < 35.

Example: 3x³⁵ - 5

ii) A monomial of degree 100.

Monomial is defined as an algebraic expression having only 1 term in its most simplified form. For a degree 100 monomial, the highest power of the variable should be 100. So, the monomial will be in the form of ax¹⁰⁰ where a ≠ 0.

Example: 5x¹⁰⁰

☛ Check: CBSE Class 9 Maths NCERT Solutions Chapter 2

Video Solution:

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

NCERT Solutions Class 9 Maths Chapter 2 Exercise 2.1 Question 3:

Summary:

An example of a binomial of degree 35 and of a monomial of degree 100 are 3x³⁵ − 5 and 5x¹⁰⁰ respectively.

☛ Related Questions:

• Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. i) 4x² - 3x + 7 ii) y² + √2 iii) 3√t + t√2 iv) y + (2/y) v) x10 + y3 + t50
• Write the coefficients of x² in each of the following:i) 2 + x² + xii) 2 - x² + x³iii) (π/2)x² + xiv) √2x - 1
• Write the degree of each of the following polynomials:i) 5x3 + 4x2 + 7xii) 4 - y2iii) 5t - √7iv) 3
• Classify the following as linear, quadratic and cubic polynomials:i) x² + xii) x - x3iii) y + y² + 4iv) 1 + xv) 3tvi) r²vii) 7x3