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College Algebra & Trigonometry, 2018a

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36 CHAPTER 1. ALGEBRA REVIEW<br />

In moving the 2x to the other side of the equation, I have seen students put the<br />

term they’re adding to that side as the last term. There is nothing wrong about<br />

this, but if you do that, you must be careful about identifying the values of A, B<br />

and C.<br />

3x 2 − 7=2x<br />

−2x = −2x<br />

3x 2 − 7 − 2x =0<br />

There is nothing wrong about the way the equation above is written depsite the<br />

fact that it is not in ”standard form.” The important thing to remember is that ”A”<br />

is not the coefficient of whichever term is listed first. It is the coefficient of the<br />

quradratic, or x 2 term. Likewise, ”B” is not the coefficient of the second term, but<br />

rather the coefficient of the linear, or x 1 term. And ”C” is not whichever number<br />

comes last, but rather the value of the constant term. So in the equation above,<br />

however it is written, the value of A is +3, Bis−2 andCis−7.

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