3 years ago

Use synthetic division and the remainder theorem to find P(-3) if P(x)=x^4 + 19x^3 + 108x^2 + 236x + 176.

1 answer:

Luda [366]3 years ago

4 0

I think i am correct............

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anygoal [31]

Answer:

Step-by-step explanation:

Think of a value on the unit circle that is double of 165.

330 is that so we can use the double Angle Identity

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} }$

Alpha is 330

$\sin(165) = \sqrt{ \frac{1 - \cos(330) }{2} }$

$\sin(165) = \sqrt{ \frac{1 - \frac{ \sqrt{3} }{2} }{2} }$

$\sin(165) = \sqrt{ \frac{ \frac{2 - \sqrt{3} }{2} }{2} }$

$\sin(165) = \sqrt{ \frac{2 - \sqrt{3} }{4} }$

$\sin(165) = \frac{ \sqrt{2 - \sqrt{3} } }{2}$

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2 years ago