Question

simplify the expression. what classification describes the resulting polynomial? (8x^2 + 3x) - (12x^2 - 1)

a. linear binomial
b. quadratic binomial
c. quadratic trinomial
d. linear monomial

Explanation:

Step1: Remove parentheses

$(8x^{2}+3x)-(12x^{2}-1)=8x^{2}+3x - 12x^{2}+1$

Step2: Combine like - terms

$(8x^{2}-12x^{2})+3x + 1=-4x^{2}+3x + 1$
The highest - degree term is $-4x^{2}$, so the degree of the polynomial is 2 (quadratic). And it has three terms ($-4x^{2}$, $3x$, and $1$), so it is a trinomial.

Answer:

C. quadratic trinomial