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alexdok [17]
3 years ago
7

Find the zero of the polynomial function x^3+8x^2-11x-18

Mathematics
1 answer:
Crank3 years ago
4 0

Answer:

The answer to your question is:  (x - 2)(x + 9)(x + 1)

Step-by-step explanation:

                                            x³  +  8x²  -  11x  -  18

find the prime factors of 18

18   2

9   3                 Try :    ± 1, ±2, ±3, ± 6,± 9

3   3

 1            

Synthetic division

                                1     8     -11    -18         2

                                       2     20    18                                            

                                1    10      9      0            First factor  ( x - 2)

                                x² + 10x + 9 = 0

                               (x + 9)(x + 1) = 0 polynomial of the form x² + bx + c

  x³  +  8x²  -  11x  -  18 = (x - 2)(x + 9)(x + 1)

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5 (10k + 1) + 2 (2 + 8k)
Eddi Din [679]

Answer:

66k+9

Step-by-step explanation:

Simplify: 50k+5+4+16k

Combine like-terms: 66k+9

Hope this helps

6 0
3 years ago
Read 2 more answers
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
krok68 [10]

Answer:

Mean = 51.4.

Mode = 49.

Median = 52.

Range = 6.

Step-by-step explanation:

Mean = Sum of all observations / Number of observations.

Mean = (49+49+54+55+52+49+52)/7

Mean = 360/7

Mean = 51.4 (to the nearest tenth).

Mode = The most repeated values = 49 (repeated 3 times).

Range = Largest Value - Smallest Value = 55 - 49 = 6.

Median = The central value of the data.

First, arrange the data in the ascending order: 49, 49, 49, 52, 54, 55, 55.

It can be seen that the middle value is 52. Therefore, median = 52!!!

7 0
3 years ago
In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.​
vodomira [7]

Answer:

Step-by-step explanation:

We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to

180 - B - C. Therefore,

angle A = 180 - 11 - 75 so

angle A = 94. And the Law of Sines is

\frac{sin94}{a}=\frac{sin11}{600} and cross multiply to get

600sin94 = asin11 and solve for a:

a=\frac{600sin94}{sin11} gives you that

a = 3136.85

8 0
3 years ago
-3(3 - 10x)<br> Please Solve
BARSIC [14]
Since it is an expression and not an equation, you would just have to distribute the -3 to the two inside the parentheses.
The answer is -9 + 30x
3 0
3 years ago
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It takes 120 newspapers to fill 8 recycling bins. What is the unit rate in newspapers per recycling bin?
Lapatulllka [165]
15 per recycling bin hope it helps
4 0
3 years ago
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