Question

Select all of the coefficients in the expression. 12xy3 + 2x5y + 4x5y2 + 7x5y.

Answer 1

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 2

Answer:

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

Step-by-step explanation:

Expressions like this $12xy^{3} +2x^{5}y+4x^{5}x^{2}+7x^{5}y$ 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:

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

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

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