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4 years ago

Write the polynomial function, in standard form, that has zeros -1, -2, and 3.

Mathematics

2 answers:

Mandarinka [93]4 years ago

8 0

Answer:

f(x) = x³ - 7x - 6

Step-by-step explanation:

Given that the zeros are x = - 1, x = - 2 and x = 3 then the corresponding factors are

(x + 1), (x +2) and (x - 3)

The polynomial is then the product of the factors, that is

f(x) = (x + 1)(x + 2)(x - 3) ← expand the first pair using FOIL

= (x² + 3x + 2)(x - 3) ← distribute

= x³ - 3x² + 3x² - 9x + 2x - 6 ← collect like terms

= x³ - 7x - 6

Olenka [21]4 years ago

5 0

Answer:

The sum of the roots of a polynomial is 5/3, the product of the same polynomial is -11. Write the polynomial function in standard form.n:

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The white wood material used for the roof of an ancient temple is imported from a certain country. The wooden roof must withstan

dolphi86 [110]

Answer:

The architects can be 95% confident that the mean breaking strength of the white wood is within this interval (149.736 , 1.664)

Step-by-step explanation:

Given

Sample = n = 16

x = 75.7

s = 10.9

First we Calculate the degree of freedom.

Degree of freedom is calculated as

df = (n - 1)t

df = (16 - 1)t

df = 15t

The we check the t-table corresponding value for 0.05

t 0.05= 1.75377.

0.05 is gotten from

(100% - 95%) = 5%= 5/100 = 0.05

Calculating the True mean breaking strength through the confidence interval

Solving the confidence interval.

This is given by:

x ± ts√df

Confidence Interval = 75.7 ± 1.75377 * 10.9 * √15

Confidence Interval = 75.7 ± 74.036

Confidence Interval = 75.7 + 74.036 , 75.7 - 74.036

Confidence interval = 149.736 , 1.664

Interpreting the above;

The architects can be 95% confident that the mean breaking strength of the white wood is within this interval (149.736 , 1.664)

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3 years ago

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Dmitry_Shevchenko [17]

Answer:

12-2(n-1).

Step-by-step explanation:

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Misha Larkins [42]

Hi there!

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ioda

C. we multiply the equation by 3

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Inessa05 [86]

The answer is C make it half, you will always get the other half of the number

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