Pregunta
quadratic
trinomials
quadratic
trinomials
Ask by Li Vega. in Gambia
Mar 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The expression
is a quadratic trinomial in terms of
.
Solución
To analyze the expression
as a quadratic trinomial, we can rearrange it in standard form. A quadratic trinomial typically has the form
.
In this case, we can treat
as the variable and
as a constant. The expression can be rewritten as:
Now, let’s identify the coefficients:
- The coefficient of
(which is ) is since there is no term. - The coefficient of
(which is ) is . - The constant term (which is
) is .
Thus, the expression can be viewed as:
This is a quadratic trinomial in terms of
.
If you need further analysis or specific calculations (like factoring or finding roots), please let me know!
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Mind Expander
Did you know that quadratic trinomials, like the expression
, can often represent areas, trajectories, or other real-world phenomena? They are not just a classroom exercise; for example, engineers use them to calculate the trajectory of objects, while architects might use similar equations to ensure structural integrity. Those everyday math lessons have a purpose!
When working with quadratic trinomials, it’s easy to get tangled in the coefficients and variables. A common mistake is neglecting to factor out the greatest common factor first, which can simplify the expression significantly. Always look for this opportunity before diving into more complex factoring techniques. Happy factoring!
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