Express x² + 2 as a trinomial in standard form.
Understand the Problem
The question is asking to express the expression x² + 2 as a trinomial in standard form. A trinomial typically has three terms, and we need to rewrite or add terms to achieve that format.
Answer
$x^2 + 0x + 2$
Answer for screen readers
The trinomial in standard form is $x^2 + 0x + 2$.
Steps to Solve
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Identify the given expression
We start with the expression $x^2 + 2$. -
Determine the standard form
A trinomial in standard form generally looks like $ax^2 + bx + c$.
To express our given expression as a trinomial, we need a linear term, $bx$. -
Add a linear term
To rewrite $x^2 + 2$ as a trinomial, we can represent it as $x^2 + 0x + 2$. Here, we added the term $0x$ to preserve the value of the expression. -
Write the final trinomial
Now, we can express the given expression as $x^2 + 0x + 2$. This is the trinomial form in standard format.
The trinomial in standard form is $x^2 + 0x + 2$.
More Information
A trinomial consists of three terms. By including a term with a coefficient of 0, we can maintain the original expression while also meeting the requirement.
Tips
- Confusing a trinomial with just any three terms, forgetting that it needs to contain an $x^2$ term and a linear term. Always consider the structure of the trinomial when rewriting.
