Video Transcript
Find the quotient when two π₯ cubed plus seven π₯ squared minus eight π₯ minus 21 is divided by two π₯ plus three.
Our first step is to determine what we multiply two π₯ by in order for it to look like two π₯ cubed. We would have to multiply by π₯ squared, so letβs put that above the π₯ squared term; and now we distribute.
When we subtract, we get four π₯ squared. And now we start the process over: what do we multiply two π₯ by so itβs equal to four π₯ squared? That would be two π₯, and we put it above the π₯ term. Distribute, and now we will have to bring down the negative eight π₯.
And now we subtract and we get negative 14π₯. So what do we multiply two π₯ by so itβs equal to negative 14π₯?
That would be negative seven. Distribute, and bring down the negative 21, and now subtract, and we get zero.
That means thereβs no remainder so, our final answer is π₯ squared plus two π₯ minus seven.