Which of the following is true about the polynomial 3x^6 - 4 ? Select all that apply.The polynomial is a binomial.The polynomial is written in standard form.The polynomial has three terms.The polynomial has a leading coefficient of 6.
Accepted Solution
A:
Short answer: The first 2 are correct. The last two are false.
Explanation A Bi means 2. There are two unlike terms in this example. It cannot be reduced further.
B It is written in standard form. The highest power on a variable is written on the left and each power after that is chosen by next highest power all the way down to no power (or no variable).
6x^3 + 11x^2 + 300x + 9
Notice that the powers start out at 3 and go to 2 and then 1 and finally a pure number. The leading integers have nothing to do with how you order the terms in standard form if the powers are all different. In this case 6 11 300 and 9 have nothing to do with the order.
C The polynomial has 2 terms not 3.
D The example has a leading power of 6. It has a leading coefficient of 3.