Respuesta :

Answer:

The coefficients are simply 12, 2, 4, and 7.

Step-by-step explanation:

Coefficients are the numbers that come before terms. Each term has a coefficient before it.

Answer:

The coefficients in the expression are: 12, 2,4 and 7

Step-by-step explanation:

Expressions like this [tex]12xy^{3} +2x^{5}y+4x^{5}x^{2}+7x^{5}y[/tex] are known as polynomials in two variables.

In a general form a polynomial in two variables is an expression that can be written in the form:

[tex]P(x,y) = a_{0,0}+a_{1,0}x+a_{0,1}y+a_{2,0}x^{2}+a_{1,1}xy+a_{0,2}y^{2}+...+a_{n,0}x^{n}+...+a_{0,n}y^{n}[/tex], where [tex]a_{0,0}[/tex] or [tex]a_{n,0}[/tex] are called the coefficients.

To get polynomial coefficients, you can take the numbers in front of each terms, for example [tex]12xy^{3}[/tex] is known as term and the coefficient is 12.

Or compare the general form of a polynomial with the polynomial [tex]12xy^{3} +2x^{5}y+4x^{5}x^{2}+7x^{5}y[/tex] and you find that the coefficients in the expression are: 12, 2,4 and 7