Select the correct answer.Simplify the expression. What classification describes the resulting polynomial?(3x2 − 11x − 4) − (2x2 − x − 6) A. quadratic trinomial B. linear binomial C. quadratic binomial D. linear monomial
Question
Select the correct answer.Simplify the expression. What classification describes the resulting polynomial?(3x2 − 11x − 4) − (2x2 − x − 6) A. quadratic trinomial B. linear binomial C. quadratic binomial D. linear monomial
Solution
To simplify the expression, we need to subtract the second polynomial from the first one.
The first polynomial is 3x^2 - 11x - 4 and the second polynomial is 2x^2 - x - 6.
Subtract the second polynomial from the first one:
(3x^2 - 11x - 4) - (2x^2 - x - 6)
= 3x^2 - 11x - 4 - 2x^2 + x + 6
Combine like terms:
= (3x^2 - 2x^2) + (-11x + x) + (-4 + 6)
= x^2 - 10x + 2
The resulting polynomial is x^2 - 10x + 2, which is a quadratic trinomial.
So, the correct answer is A. Quadratic Trinomial.
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