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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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F (x) = 4x^2 + 18x - 26
koban [17]

Answer:

Hi! I can't really see the graphs on the picture but i can tell you what it should looks like, The graph opens up which means it makes a U shape and The vertex is (- \frac{9}{4}, -\frac{185}{4}) the Axis of Symmetry is x = -\frac{9}{4}and, if you can find all those points in your graph then you'll get 100% i'm sorry that i can't see the picture but i can see the shape but i also need to see the Units.

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
A telephone pole is 24 feet tall. a 26-foot guy wire is used to stabilize the pole. how far from the base of the telephone pole
padilas [110]

Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

In this problem, the distance is l_2, while the other measures are l_1 = 24, h = 26, hence:

24^2 + l_2^2 = 26^2

l_2 = \sqrt{26^2 - 24^2}

l_2 = 10

The base of the pole should be set 10 feet from the end of the wire.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

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4 0
1 year ago
How much higher is 500m than 400m
zaharov [31]

Answer:

100m

Step-by-step explanation:

just subtract them from each other

                                 

                                           500m

                                       -   400m

                                         -----------

                                           100m

7 0
3 years ago
Read 2 more answers
In a café, I order a cup of tea and a piece of cake and it costs £1.10. The next time I order 2 cups of tea and one piece of cak
defon

Answer:

£0.50

Step-by-step explanation:

t = one cup of tea

c = one piece of cake

t + c = £1.10

2t + c = £1.70

the cost increases by £0.60 (£1.70 - £1.10) when you order one more cup of tea which means that one cup of tea costs £0.60

substitute £0.60 into t + c = £1.10

£0.60 + c = £1.10

rearrange to get c = £1.10 - £0.60 = £0.50

so one piece of cake costs £0.50

7 0
3 years ago
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Six times the sum of a number and twelve is forty. Which equation represents this?
luda_lava [24]

Answer:

6n + 12 =40

Step-by-step explanation:

5 0
2 years ago
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