3. Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
2 - 11x^2 - 8x + 6x^2.
A. -5x^2 - 8x + 2; quadratic trinomial
B. -5x^2 - 8x; quadratic binomial
C. -6x^2 - 8x - 2; cubic polynomial
D. 6x^2 - 8x + 2; cubic trinomial
Starting with the given polynomial 2 - 11x^2 - 8x + 6x^2, we can combine like terms to simplify it:
2 - 11x^2 - 8x + 6x^2
Combine the x^2 terms and the x terms:
(6x^2 - 11x^2) + (-8x)
-5x^2 - 8x + 2
Therefore, the polynomial in standard form is -5x^2 - 8x + 2. Since it has 3 terms and is of degree 2, it is classified as a quadratic trinomial.
Therefore, the correct answer is:
A. -5x^2 - 8x + 2; quadratic trinomial