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This is the character equation for a polynomial of degree where [itex]n \geq 0[/itex]

[tex]p(x) = a_0 x^{n} + a_{1} x^{n-1} + a_2 x ^{n-2} + \cdots + a_{n-1}x + a_{n}[/tex]

I'm presented with the following assignment:

Two polynomials [itex]\mathrm{p, q}[/itex] where n = 3. These polynomials can derived using the following conditions:

[tex]\begin{array}{ccc} p(0) = -1 & q(1) = 3 & p(0) = q(0) \\ p'(0) =1 & q'(1) = -2 & p'(0) = q'(0) \end{array}[/tex]

If was told by professor that these polynomials can we written in the following form.

[tex]p(x) = (a_{0} + a_{1})x^{n-1} + (a_{1})x^{n-2} + \cdots + (a_{n-1})x + a_{n}[/tex]

How do I apply formula to my assignment??

Thanks in advance

Sincerely

Fred

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# Homework Help: Question regarding polynomials

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