Hello, fran1942!

Hello, I am wondering if I have gone about this system of equations correctly ?

3x+5 = AX+2A+BX+B

using x = 0

5 = 2A+B

using x = 1

8 = 3A + 2B

therefore:

5 = 2A+B

8 = 3A + 2B

cancelling a term:

10 = 4A+2B

8 = 3A + 2B

equals:

A = 2

B= 1

You're absolutely correct! . . . Good work!

Here's another approach . . .

We have: .

Two polynomials are equal if their corresponding coefficients are equal.

Hence: .

which yields the same answers: .