Question

Ashley adds Polynomial A and B together:

Polynomial A: 5z + 4x^2 - 6y + 2

Polynomial B: 2x + 9y - 12z - 2


What will be the coefficients for x, y, and z in the resulting sum?

Answer 1

coefficient of x: 2

coefficient of y: 3

coefficient of z: -7

Explanation:

To solve this problem, first we need to sum the polynomials A and B, then we need to check the coefficients of x, y and z.

The sum of the polynomials is:

A + B = 5z + 4x^2 - 6y + 2 + 2x + 9y - 12z - 2

A + B = 4x^2 + 2x + 3y - 7z

So, the coefficients are:

coefficient of x^2: 4

coefficient of x: 2

coefficient of y: 3

coefficient of z: -7

Answer 2

coefficient for x : 2

coefficient for y : 3

coefficient for z : -7

Explanation:

First of all, we have to organize the polynomials and then sum similar terms:

4x^2 - 6y + 5z + 2

2x + 9y - 12z - 2

4x^2 + 2x +3y - 7z + 0

Hence by focus on the coefficients that multiplies x, y an z we obtain:

coefficient for x : 2

coefficient for y : 3

coefficient for z : -7

hope this helps!!