Answer:
A
Step-by-step explanation:
Given
(3x² - 11x - 4) - (2x² - x - 6)
Distribute both parenthesis, noting the second is distributed by - 1
= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms
= x² - 10x + 2 ← this is a quadratic with 3 terms, thus trinomial → A
The classification which describes the polynomial [tex](3x^2 - 11x - 4) - (2x^2 - x - 6)[/tex] will be quadratic trinomial form.
Quadratic trinomial is a polynomial with three terms and the degree of the trinomial must be [tex]2[/tex]. It means that the highest power of the variable cannot be greater than [tex]2[/tex].
We have,
[tex](3x^2 - 11x - 4) - (2x^2 - x - 6)[/tex]
Now simplify it ,
[tex]3x^2 - 11x - 4 - 2x^2 + x + 6[/tex]
Rewrite the expression,
[tex]3x^2- 2x^2 - 11x+ x - 4 + 6[/tex]
Simplify it more,
[tex]x^2 - 10x +2[/tex]
So, this is the simplified form of the given expression, and it is in the quadratic trinomial form.
Hence, we can say that the classification which describes the polynomial [tex](3x^2 - 11x - 4) - (2x^2 - x - 6)[/tex] is in quadratic trinomial form.
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