Question

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.

6 - 12x + 13x^2 - 4x^2

A. 9x^2 - 12x; quadratic binomial
B. 9x^2 - 12x + 6; quadratic trinomial
C. -3x^2 + 6; quadratic binomial
D. 9x^2 - 12x -6; cubic trinomial

PLZZZZ HELP!!!!

Answer 1

B. 9x^2 - 12x + 6; quadratic trinomial

Explanation:

`6-12x+13x^2-4x^2\qquad\text{combine like terms}\\\\=(13x^2-4x^2)-12x+6\\\\=9x^2-12x+6\to\text{quadratic trinominal}\\\\\text{quadratic because we have}\ x^2\\\\\text{trinominal because we have three terms}\ 9x^2,\ -12x\ \text{and}\ 6`