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