whats up with this?! (polynomial & monomial)?

Very simple if you think about it.

The monomial in question has three terms multiplied into each other. So, let's consider the following multiplication problem:

x^2 * x^3 * x^5

When we multiply them, you will need to add the exponents. In this case, it becomes x^10, which makes it a tenth degree.

Now, a polynomial is a mathematical sentence where multiple terms are added or subtracted to/from each other. Consider this:

x^5 + x^3 + x^2

We can't add these to form one term, since they are different terms. Since they form a polynomial(technically a trinomial), we have to look at the highest exponent to see what degree it is. In this case, it is a fifth degree polynomial.

Hope this helps ya!

Miss Kristin

In arithmetic, a polynomial is an expression made out of variables (additionally regular as indeterminates) and constants, making use of the operations of addition, subtraction, multiplication, and relentless non-unfavorable finished extensive form exponents. as an occasion, x2 ? 4x + 7 is a polynomial, yet x2 ? 4/x + 7x3/2 isn't, because of the fact its 2d term is composed of branch by the variable x and additionally because of the fact its third term contains an exponent that's not an entire extensive form. In arithmetic, the be conscious monomial potential 2 distinctive issues interior the context of polynomials: the 1st which potential is a manufactured from powers of variables, or formally any fee gained from a million by finitely many multiplications by a variable. If basically a single variable x is considered this means that any monomial is the two a million or a skill xn of x, with n an excellent integer. If quite a few variables are considered, say, x, y, z, then each can settle for an exponent, so as that any monomial is of the type xaybzc with a,b,c nonnegative integers (taking notice that any exponent 0 makes the corresponding ingredient equivalent to a million). the 2d which potential of monomial contains monomials interior the 1st experience, yet in addition enables multiplication by any consistent, so as that ? 7x5 and (3 ? 4i)x4yz13 are additionally considered to be monomials (the 2d occasion assuming polynomials in x, y, z over the complicated numbers are considered).