Express x * 10 * 2 as a trinomial in standard form.
Understand the Problem
The question is asking to express the product of x, 10, and 2 as a trinomial in standard form. This involves multiplying these terms together and organizing the result into a standard polynomial form.
Answer
The trinomial in standard form is $20x + 0 + 0$.
Answer for screen readers
The trinomial in standard form is $20x + 0 + 0$.
Steps to Solve
- Identify the terms to multiply
You need to multiply the three terms: $x$, $10$, and $2$.
- Multiply the coefficients
First, multiply the constant coefficients $10$ and $2$.
$$ 10 \times 2 = 20 $$
- Combine with the variable
Now, combine the result from the previous step with the variable $x$.
The expression will be $20x$.
- Express in standard form
Since the problem specifically asks for a trinomial and our expression $20x$ has only one term, we can express it in standard form by adding two zero terms to make it a trinomial.
Thus, we write:
$$ 20x + 0 + 0 $$
- Final expression
The final trinomial in standard form is:
$$ 20x + 0 + 0 $$
The trinomial in standard form is $20x + 0 + 0$.
More Information
A trinomial usually consists of three terms. In this case, as the product we found only had one variable term, we included zero terms to fulfill the criteria of a trinomial.
Tips
Common mistakes include:
- Forgetting to include zero terms when creating a trinomial.
- Confusing the definition of a trinomial with a polynomial of a different degree.
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