One factor of x4 + x2 - 20 is x2 + 5. The other factor is: - Vidyadip

MCQ

One factor of x⁴ + x² - 20 is x² + 5. The other factor is:

A
x² - 4
B
x - 4
C
x²- 5
D
x + 4

✓

Answer

x² - 4
Solution:
x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
=x²(x² + 5) - 4(x² + 5)
= (x² + 5)(x² - 4)
So, other factor is x² - 4.

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