Is 5m^3 -3m^4-7m a polynomial? State the type and degree of the polynomial.

Yes it is a polynomial.

It is a trinomial.

The degree is 4.

Step-by-step explanation:

So polynomial is an expression that has variables, constants, and exponents. And all of these are connected through things like addition and subtraction. In this question, you have x as your variable, 0 as your constant, and 4,3,1 as your exponents.

A term is the part of the polynomial that is separated by + or - sign. So in this question, you have 5m^3, -3m^4, and -7m as your terms. Because you have three terms, therefore this is a trinomial.

The degree of polynomial is represented by the variable with the largest exponent, so in your case, 4 is your largest exponent, therefore the degree of the polynomial is 4.

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11