One factor of x⁴+x²-20 is x2+5. The other factor is
A. x²-4
B. x-4
C. x²-5
D. x+2
Answers
Given: One factor of x⁴ + x² - 20 is x² + 5.
To find: The other factor.
Solution :
If we divide x⁴ + x² - 20 by x² + 5 we get the other factor.
By long division method :
x² + 5 )x⁴ + x² - 20(x² - 4
x⁴ + 5x²
(-) (-)
---------------
-4x² - 20
-4x² - 20
(+) (+)
------------------
X
Hence the other factor is x² - 4 .
Among the given options option (A) x² - 4 is correct.
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Answer:
Step-by-step explanation:
By long division method :
x² + 5 )x⁴ + x² - 20(x² - 4
x⁴ + 5x²
(-) (-)
---------------
-4x² - 20
-4x² - 20
(+) (+)
------------------
X