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hfrench5130
30.06.2019 •
Mathematics
What polynomial equation of the least degree has -2,-2,3, and 3 as four of its roots?
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Ответ:
f(x) =
- 2x³ - 11x² + 12x + 36
Step-by-step explanation:
given that x = a and x = b are the roots of a polynomial then
(x - a) and (x - b) are it's factors and the polynomial is the product of the factors
here x = -2 ( repeated ) and x = 3 (repeated), hence the factors are
(x + 2)² and (x - 3)² → the square denotes a repeated root
f(x) = (x + 2)²(x - 3)² ← expand factors and simplify
= (x² + 4x + 4)(x² - 6x +9)
=
- 2x³ - 11x² + 12x + 36 ← is a possible equation
Ответ:
If you are rounding to the nearest tenth of a MB, then it would look like this:
3.2 + 4.9 = 8.1 MB
Because in 3.15, 5 is greater than or equal to 5, and in 4.89, 9 is greater than or equal to 5.
If you are rounding to the nearest MB, then it would look like this:
3 + 5 = 8 MB
Because in 3.15, 1 is less than 5, and in 4.89, 8 is greater than or equal to 5.
In my opinion, I would mentally add them to get 8.14 MB, because if you do math well, you can mentally add these things like second nature. This is really helpful when you go shopping, which I'll bet you will be doing profusely.