Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
2 – 11x2 – 8x + 6x 2
A. –5x2 – 8x + 2; quadratic trinomial
B. –5x2 – 8x; quadratic binomial
C. –6x2 – 8x – 2; cubic polynomial
D. 6x2 – 8x + 2; cubic trinomial
2 – 11x2 – 8x + 6x2
First, let's combine like terms:
(6x^2 - 11x^2) + (-8x) + 2
-5x^2 - 8x + 2
The polynomial in standard form is: -5x^2 - 8x + 2
Based on its degree (highest exponent) and number of terms, the polynomial is a quadratic trinomial.
The correct answer is A. –5x2 – 8x + 2; quadratic trinomial.