Which of the following is a binomial?
(a) 7 × a + a
(b) 6a² + 7b + 2c
(c) 4a × 3b × 2c
(d) 6 (a² + b)
Solution:
Correct option is (d).
“ A polynomial with two terms is usually joined by a plus or minus sign is called a binomial”.
(a) 7 × a + a = 7a + a = 8 a → This is a monomial which is a type of polynomial with a single term.
(b) 6a² + 7b + 2c → This is a trinomial which is a type of polynomial that has three terms.
(c) 4a × 3b × 2c = 24abc → This is a monomial which is a type of polynomial with a single term.
(d) 6 (a² + b) = 6a² + 6b →This is a binomial which is a type of polynomial that has two terms.
✦ Try This: Which of the following is a trinomial? (i) x(x + y), (ii) x² + 2(x + 5), (iii) (x + 4) (x³ + 4x + 7), (iv) (x² - 9)
Option (ii) as trinomial will contain 3 terms in it.
x² + 2(x + 5) = x² + 2x + 10
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9
NCERT Exemplar Class 8 Maths Chapter 7 Problem 7
Which of the following is a binomial? (a) 7 × a + a, (b) 6a² + 7b + 2c, (c) 4a × 3b × 2c, (d) 6 (a² + b)
Summary:
From the given expressions (a) 7 × a + a, (b) 6a² + 7b + 2c, (c) 4a × 3b × 2c, (d) 6 (a² + b), option (d) is a binomial
☛ Related Questions:
- Sum of a – b + ab, b + c – bc and c – a – ac is (a) 2c + ab – ac – bc (b) 2c – ab – ac – bc (c) 2c + . . . .
- Product of the following monomials 4p, – 7q³, –7pq is (a) 196 p²q⁴ (b) 196 pq⁴ (c) – 196 p²q⁴ (d) 19 . . . .
- Area of a rectangle with length 4ab and breadth 6b² is (a) 24a²b² (b) 24ab³ (c) 24ab² (d) 24ab
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