I'm learning how to divide polynomials by expressions like a + 1 and I'm stuck on a particular question:
4x^4 - 3x^2 + x + 2 divided by 2x + 3
The answer must be expressed in the form (2x+3)*Quotient+Remainder.
Here's how I've been going about it.
4x^4 - 3x^2 + x + 2 = (2x + 3)(ax^3 + bx + c) + R
Then after expanding and collecting like terms, I have:
2ax^4 + 3ax^3 + 2bx^2 + (2b+2c)x + 3c + R
And it's here that I get stuck. The problem here is that I don't know how to go on. What for example do I do with the x^3 bit?