Question

If A = 6m + 2n-1 and C = 14m + 26n-

31, which expression represents polynomial B?

Answer 1

The polynomial B is represented by:

B = 20m + 28n - 32

What is a polynomial?

The given expressions are:

A = 6m + 2n - 1

C = 14m + 26n - 31

B is the sum of the expressions A and C

It can be represented mathematically as:

B. = A + C

B = 6m + 2n - 1 + 14m + 26n - 31

Collect like terms

B = 6m + 14m + 26n + 2n - 1 - 31

B = 20m + 28n - 32

Therefore, the polynomial B is represented by:

B = 20m + 28n - 32

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Answer 2

The complete question demands that we find B from; B = A+C

The expression which represents the polynomial B is; B = 20m +28n -32.

Addition of polynomials

The given polynomials are;

• A = 6m + 2n-1

• C = C = 14m + 26n-31.

Since, B= A +C; we have;

• B = 6m + 2n-1 + 14m + 26n-31.

• B = 20m +28n -32.

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