Test 9 Section 4 Question 16


This question says that the whole expression above resolves itself to just equal bx. Which means all the constant terms and x^2 terms need to cancel out somehow. We can use that fact to figure out what a is.

First, let’s FOIL it out:


Now let’s combine like terms:


Again, this is supposed to simplify to just bx. Obviously the -4 and the +4 cancel out, and the 4ax^2-x^2 must also cancel out.


Divide each side by x^2 and you get simply:


Now that we know a, we can solve for b.


Therefore, b=-3.

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