Question

select the correct answer. simplify the following expression. classify the resulting polynomial. 3x(x - 3) + (2x + 6)(-x - 3) linear binomial quadratic binomial quadratic monomial quadratic trinomial

Explanation:

Step1: Expand first term

$3x(x - 3) = 3x^2 - 9x$

Step2: Expand second term

$(2x + 6)(-x - 3) = -2x^2 -6x -6x -18 = -2x^2 -12x -18$

Step3: Combine expanded terms

$3x^2 -9x -2x^2 -12x -18 = x^2 -21x -18$

Step4: Classify the polynomial

Degree 2 (quadratic), 3 terms (trinomial)

Answer:

quadratic trinomial