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gtnhenbr [62]
4 years ago
12

Michelle needs to convert the function f(x) = x2 - 10x +31 to vertex form, fx) = (x - 1)2 + k, in order to find the minimum.

Mathematics
1 answer:
leva [86]4 years ago
8 0
To find k

You can do

C-a((b/2)^2))

This is because when you complete the square you have the c value that you have initially minus the new c value which is found by (b/2)^2 and if you factored a number out then multiply it to that.

So in this case

31- 1(10/2)^2

31-(5)^2

31-25

6


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By the polynomial remainder theorem, the remainder upon dividing p(x) by x-3 will be the value of p(3).

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So you have

\dfrac{x^4-6x^3-4x^2-6x-2}{x-3}=x^3-3x^2-13x-45-\dfrac{137}{x-3}

which means p(3)=-137.
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3 years ago
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snow_lady [41]

Answer:

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