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4 years ago

Which of the following is a polynomial with roots 5,7 and -8

Mathematics

2 answers:

Aloiza [94]4 years ago

3 0

The idea is to use the zero product property in reverse to go from the roots to the factorization. Then you expand out the polynomial using the distributive property.

x = 5 or x = 7 or x = -8

x-5 = 0 or x-7 = 0 or x+8 = 0

(x-5)(x-7)(x+8) = 0

(x-5)(x^2+x-56) = 0

x(x^2+x-56) - 5(x^2+x-56) = 0

x^3+x^2-56x -5x^2-5x+280 = 0

x^3-4x^2-61x+280 = 0

f(x) = x^3 - 4x^2 - 61x + 280

<h3>Answer: Choice D</h3>

zloy xaker [14]4 years ago

3 0

Answer:

The correct answer is option 4). x³- 4x² -61x + 280

Step-by-step explanation:

It is given that, a polynomial with roots 5,7 and -8

To find the polynomial

The roots are 5,7 and -8

Then the factors are, (x-5), (x-7) and (x+8)

p(x) = (x-5)(x-7)(x+8) = (x-5)(x² + 8x -7x + 56)

= (x-5)(x² + x - 56)

= x³ + x² - 56x -5x² - 5x + 280

= x³- 4x² -61x + 280

Therefore the polynomial is p(x) = x³- 4x² -61x + 280

The correct answer is option 4). x³- 4x² -61x + 280

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

We are given that an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. For this fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0 hours.

Let Null Hypothesis, $H_0$ : $\mu \leq$ 4.5 hours {means that the current mean hours per week is less than or equal to 4.5}

Alternate Hypothesis, $H_1$ : $\mu$ > 4.5 hours {means that the current mean hours per week is higher than 4.5}

Now, Type I error states that : Probability of rejecting null hypothesis given the fact that it was true or Rejecting the true null hypothesis.

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Step-by-step explanation:

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3 years ago

Read 2 more answers