Question

Which of the following represents the polynomial 5x + 3x^4 + 15 − 7x3 in standard form, the degree of the polynomial, and the number of terms?

Answer 1

A polynomial is written correctly when the exponents are listed in order from highest to lowest.  The highest exponent then dictates the degree of the whole polynomial.  The first choice above is written in standard form from highest degree to lowest.   Doesn't matter that we might skip the x-squared term or any other x-term, as long as they're in order from highest to lowest.  The degree on that first polynomial, the one you're after, is 4 because that's the highest exponent, and there are 4 terms there.  Terms are "bunches" of numbers and variables stuck together by multiplication and separated by + or - signs. 

Answer 2

Answer:

It is

3x^4 − 7x^3 + 5x + 15

degree: 4

number of terms: 4

Step-by-step explanation: