Question

consider the following polynomial

-2xy^5+3x^7-10x^3y^6+8x^6+4

which of the following statements are true select all that apply

a. the polynomial has 5 terms
b. the leading coefficient is -2
c. the degree of the polynomial is 7
d. the constant term is 4
e. the polynomial is in decreasing degree order

Answer 1

why

Answer 2

b. the leading coefficient is -2
c. the degree of the polynomial is 7
d. the constant term is 4

Answer 3

b. The leading coefficient is -2 because it is the coefficient of the term with the highest degree, which is the -2xy^5 term.

c. The degree of the polynomial is 7 because the highest degree of any single term is 7, which is the x^7 term.

d. The constant term is 4 because it is the term without any variables attached, which is the 4 term.

The statement "the polynomial is in decreasing degree order" is not true because the terms of the polynomial are not arranged in decreasing order of degree.