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just olya [345]

2 years ago

11

I don't really get it plz help tell if it's a regular or not regular polygon

1 answer:

ladessa [460]2 years ago

4 0

So the definition of a regular polygon is that the sides are all equal, the interior angles are all equal, and the exterior angles are all equal.
Notice how with #s 3 and 4, the angles are all shown as equal, as well as their sides. However, #s 5 and 6 have different angles and sides, respectively.
Therefore 3 and 4 are regular, but 5 and 6 are irregular (not regular).

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Construct a polynomial function with the following properties: third degree, only real coefficients, −3 and 3+i are two of the z

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$\boxed{-3(x+3)(x^2-6x+10)}$

Step-by-step explanation:

Hello,

As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.

It means that we can write the expression as below, k being a real number that we will have to identify.

$k(x+3)(x-3-i)(x-3+i)=k(x+3)((x-3)^2-i^2)\\\\=k(x+3)(x^2-6x+9+1)\\\\=k(x+3)(x^2-6x+10)$

And for x = 0, y = -90 so we can write

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Step-by-step explanation:

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