Question

Simplify the expression below. Then classify the resulting expression

as a monomial, binomial, or trinomial.
3x²+6x+5-3x(2+x)
Which of the following represents the simplified expression and its
polynomial classification?

Answer 1

The answer is 5, which is a monomial.

Let's simplify using the distributive property.

• 3x² + 6x + 5 - 3x(2) - 3x(x)
• 3x² + 6x + 5 - 6x - 3x²
• 5

If the resulting expression has only one term, it is classified as a monomial.

Answer 2

Simplified = 5

Classification = Monomial

Explanation:

PART I: Simplify the expression

Given expression:

3x² + 6x + 5 - 3x (2 + x)

Expand parenthesis by distributive property:

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

Put like terms together:

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

=
`\boxed{5}`

PART II: Classify polynomial

Concept:

Polynomial is classified by the number of terms a polynomial has.

• Monomial: a polynomial with only one term
• Binomial: a polynomial with two terms
• ...

Classify the given expression:

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a monomial.

Hope this helps!! :)

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