The product of a monomial and a binomial is a
(a) monomial
(b) binomial
(c) trinomial
(d) none of these

Solution:

Correct answer is option (b). A monomial has a term and a binomial has another.

The distributive property gets their product as a binomial.

For example, consider a monomial 3a and a binomial 5a + 2.

Multiplying them we get 3a(5a + 2) = 15a² + 6a, which is a binomial.

✦ Try This: Prove that,The product of a monomial and a binomial is a binomial.

Consider a monomial ‘x’ and a binomial (x + y)

Then, the product = x × (x + y) = x² + xy, which is binomial.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 1

The product of a monomial and a binomial is a (a) monomial, (b) binomial, (c) trinomial, (d) none of these

Summary:

The product of a monomial and a binomial is a binomial

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