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Hey, I need help with this question. An explanation would be much appreciated as there are solutions (which I don't understand). The question is: P(x) is an odd polynomial of degree 3. It has (x+4) as a factor and, when it is divided by (x-3), the remainder is 21. Find P(x). The answer is...

Thank you, I appreciate the help. Simple question, I just didn't recognise x1 and x2 to be the roots haha. Thanks again!

The question is: T(2at, at2) is a point on the parabola x2=4ay with focus F(0,a). The line with gradient t through F meets the parabola at the points P and Q. M is the midpoint of PQ. Show that M has coordinates (2at, 2at2 + a). Thank you!!