Solve each polynomial equation. 15. 15x^3-119x^2-10x+16=0 16. x^3-14x^2+47x-18=0 17. 5x^3-27x^2-17x-6=0

Answers:

15) x = 8,

16) x = 9, ,

17) x = 6, ,

Step-by-step explanation:

15x³ - 119x² - 10x + 16 = 0

So, the possible rational roots are: +/-  

Use synthetic division with each one until you find a remainder of zero.  I am not going to go through each one because it is too time consuming, however, the first one that works is x = 8

(x - 8)(15x² + x - 2)    

Next, factor 15x² + x - 2 using any method

(x - 8)(3x - 1)(5x + 2)

Now, solve for x.

x = 8, x = , x =

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For #16 & 17, follow the same process as above.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

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step-by-step explanatio89