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roseemariehunter12
22.07.2019 •
Mathematics
Which of the following is the complete list of roots for the polynomial function f(x) = (x2 + 2x - 15)(x2 + 8x + 17)? a) -5,3 b) -5,3,-4,+i,-4,-i c) -5,3,-4,+i,4+i d) -4+i , -4 -i
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Ответ:
Given polynomial function f(x) = (x^2 + 2x - 15)(x^2 + 8x + 17).
In order to find all roots of the given polynomial function, we need to set each of above factor equal to 0.
Therefore,
x^2 + 2x - 15 =0 and x^2 + 8x + 17 =0.
Let us solve first quadratic now.
x^2 + 2x - 15 =0
Factoring out quadratic
(x+5)(x-3) =0
x+5=0 or x-3=0
x=-5 or x=3.
Let us solve second quadratic equation now
x^2 + 8x + 17 =0.
Applying quadratic formula,
Therefore, the list of roots for the polynomial function is:
![x=3,\:x=-5,\:x=-4+i,\:x=-4-i.](/tpl/images/0121/2664/35c27.png)
So, the correct option is B) -5, 3, -4+i, -4-i.Ответ:
Ответ:
This confuses me is this like spam or a real question haha
Step-by-step explanation: