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7 September, 09:05

Find two polynomials that have a sum of 4

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  1. 7 September, 09:15
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    There are infinitely many ways to do this. One such way is

    (x^2 + 10x + 4) plus (-x^2 - 10x)

    note how the x^2 terms combine to 0x^2 or just 0. The same applies to the x terms as well. The only thing left is 4

    So as you can see, the goal is to get everything to cancel but the 4. You can also have something like

    (2x^2-7x+2) plus (-2x^2 + 7x + 2)

    and we have the same cancellations going on. This time we have 2+2 = 4 left over.
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