Question

Given the following polynomial, y=3x^5−4x^4+2.0+1, identify the following:

a) State the degree
b) Number of terms
c) y-intercept

Answer 1

The polynomial y=3x^5-4x^4+2.0+1 has a degree of 5, contains four terms, and has a y-intercept of 1.

Step-by-step explanation:

Given the polynomial y=3x^5−4x^4+2.0+1, let's identify the following characteristics:

• a) Degree of the polynomial: This is the highest power of x in the polynomial. In this case, the highest power of x is 5, so the degree is 5.
• b) Number of terms: Terms in a polynomial are separated by plus (+) or minus (−) signs. Here, there are four terms: 3x^5, −4x^4, 2.0, and 1.
• c) y-intercept: This is the value of y when x=0. It is the constant term of the polynomial. In this case, the y-intercept is 1.