Question

Why this is trinomial explain in details​

Answer 1

It is trinomial because it has 3terms

Answer 2

Step-by-step explanation:

A variable is separated by + or - symbols

A variable is not separated by ÷ or ×.

For ex-

1)x + y = 24

It is a binomial because x and y are two variables and are separated by

2) x + y - z = 21

It is a trinomial because x, y and z are three separate variables and are separated by a '+' symbol and a '-' symbol.

3) xy = 42

=> x × y = 42

Here in this case it is not a binomial. It is because x and y here act as one variable only

4) x/y = 31

=> x ÷ y = 31

Here also it is not a binomial because x and y act as one variable only.

So going by the above examples, in the question

$1 \div 3(x + y + z)$

$= (x \div 3) + (y \div 3) + (z \div 3)$

is a trinomial because x/3, y/3 and z/3 are separated by '+' symbol.

Hope it helps.

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