express x^2 + 12x + 2 as a trinomial in standard form
Understand the Problem
The question is asking how to express the expression 'x 12 2' as a trinomial in standard form. This involves ensuring it is formatted correctly to be a polynomial with three terms, typically represented as ax^2 + bx + c.
Answer
The standard form of the trinomial is $x^2 + 12x + 2$.
Answer for screen readers
The standard form of the trinomial is $x^2 + 12x + 2$.
Steps to Solve
- Identify the terms in the expression
The expression 'x 12 2' appears to be a misformatted polynomial. It seems like we can infer that it should properly be a trinomial. Let's interpret it as a polynomial: $$ x^2 + 12x + 2 $$
- Write in standard form
To express the polynomial in standard form, we need to ensure it is presented as: $$ ax^2 + bx + c $$
In this case, we have:
- $a = 1$ (the coefficient of $x^2$)
- $b = 12$ (the coefficient of $x$)
- $c = 2$ (the constant term)
So, the standard form of the trinomial is: $$ x^2 + 12x + 2 $$
- Check correctness
Let's reassess the expression 'x 12 2' to ensure that it reflects three terms in the polynomial correctly: $$ x^2 + 12x + 2 $$
It is indeed a trinomial with three distinct terms.
The standard form of the trinomial is $x^2 + 12x + 2$.
More Information
Trinomials are a special type of polynomial that can often be factored or used in various algebraic methods such as completing the square or the quadratic formula.
Tips
- Misinterpreting the terms: It's important to correctly identify each term in the expression and format it as a polynomial, especially if the original expression is unclear or miswritten.
- Incorrectly assuming the polynomial needs more or fewer terms: Ensure the trinomial maintains exactly three distinct terms in its standard form.
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