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Debora [2.8K]
3 years ago
11

Is (x-4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.

Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

(x-4) is not a factor of f(x)=x³-2x²+5x+1

Step-by-step explanation:

Uding the remainder theorem,(x-4) is a factor if the remainder is 0

Plug in x=4

(4)³-2(4)²+5(4)+1

64-32+20+1

64-53

11

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Step-by-step explanation:

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Step-by-step explanation:

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If the measure of angle θ is 3π/4, the true statements are:

  1. sin(θ) = √2/2.
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<h3>How to determine the true statements?</h3>

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

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Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

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Read more on terminal point here: brainly.com/question/4256586

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C. The measure of the reference angle is 30

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F. tan(θ)=1

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Step-by-step explanation:

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