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Mimix2k
29.06.2019 •
Mathematics
Write each polynomial function in standard form, then classify it by degree and number of terms and describe its end behavior. y = 2x(x^2 – 3)(x^2 + 2)
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Ответ:
Step-by-step explanation:
I like to form the product of something like this by multiplying binomial pairs first. The distributive property applies for that (as does FOIL).
... (x^2 -3)(x^2 +2) = x^2·x^2 + x^2·2 + (-3)·x^2 + (-3)·2
... = x^4 -x^2 -6 . . . . . the two x^2 terms combine
Now, it is a simple matter to multiply each term by 2x:
... y = 2x^5 -2x^3 -12x
_____
The highest-degree term has degree 5. There are 3 terms. (All are odd-degree, so this is an odd function, symmetrical about the origin.)
As with any odd-degree function (with positive leading coefficient) the overall shape has a positive slope (/), tending toward -∞ for large negative values of x, and tending toward +∞ for large positive values of x.
Ответ:
80 by 3 is 240
and 4 by 3 is 12 so 1500 plus 240 plus 12 is
1752