Bomarie02 Bomarie02

25-10-2019
Mathematics

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Factor completely X⁴-10x²+9. Please show all work.

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brandisouthern9 brandisouthern9

25-10-2019

Answer:

Let y=x² . Then:

x4−10x2+9=y2−10y+9

y²-10y+9=(y-9)(y-1)

Substitute x² for y:

x4−10x2+9=(x2−9)(x2−1)

x²-9=(x+3)(x-3)

x²-1=(x+1)(x-1)

x4−10x2+9=(x+3)(x−3)(x+1)(x−1)

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