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.

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

answer: it is d

step-by-step explanation: