Question

what factor
is the result of squaring a binomial

Answer 1

The result of squaring a binomial is trinomial

Given :

A binomial

To find :

The result of squaring the binomial

Solution :

Step 1 of 3 :

Define binomial

In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial.

For example m + 9 is a binomial

Step 2 of 3 :

Find result of squaring the binomial

Squaring m + 9 we get

$\sf {(m + 9)}^{2}$

$\sf = {m }^{2} + 2 \times m \times 9 + {9}^{2}$

$\sf = {m }^{2} + 18m+ 81$

Step 3 of 3 :

Name the polynomial obtained

The number of terms in m² + 18m + 81 is 3

We know that a trinomial is a polynomial consisting of three terms or monomials.

Hence the result of squaring a binomial is trinomial

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