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janilaw1
29.09.2021 •
Mathematics
Factor the expression completely.
-x^4-4x^2+21
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Ответ:
-(x^2-3)(x^2+7) Is the answer
Step-by-step explanation:
The first term is, x4 its coefficient is 1 .
The middle term is, +4x2 its coefficient is 4 .
The last term, "the constant", is -21
Step-1 : Multiply the coefficient of the first term by the constant 1 • -21 = -21
Step-2 : Find two factors of -21 whose sum equals the coefficient of the middle term, which is 4 .
-21 + 1 = -20
-7 + 3 = -4
-3 + 7 = 4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 7
x4 - 3x2 + 7x2 - 21
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2-3)
Add up the last 2 terms, pulling out common factors :
7 • (x2-3)
Step-5 : Add up the four terms of step 4 :
-(x^2-3)(x^2+7)
Which is the desired factorization
(Hope this helps can I pls have brainlist (crown) ☺️)
Ответ:
2/4
Step-by-step explanation:
I could be wrong but I believe that's the answer