Question

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

Answer 1

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

Explanation:

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

Answer 2

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

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