r/learnmath • New User • 8h ago

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u/Fit_Appointment_4980 New User 5h ago

Bad bot

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u/bonebranch Mathematician 5h ago

If you want the roots of the polynomial, which is actually the first thing that comes to mind when I see the word "solve" with some polynomial, then that's easy: 7x + 2 = 0 or x + 5 = 0, giving us x = -2/7 or x = -5. The caveat is that of course you need the polynomial to be in an equation, the other side to be 0, and the thing you are really "solving" is the polynomial equation. For this example, that is, (7x + 2)(x + 5) = 0.

Is the question asking, as the hint suggests, to expand the polynomial? I would not use the word "solve" for that.