Bomarie02 Bomarie02

25-10-2019
Mathematics

contestada

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

Respuesta :

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)

Answer Link

Otras preguntas

why was Mesopotamia easy to invade

what is 540 divided by 36 in partial quotients

Is a mushroom prokaryotic or eukaryotic?

The expression 2t^2+5t+2 can never have a value that is a prime number. Can someone please explain in simple steps why this is? Thank you!?

What does Mesopotamia mean?

The traditional view of mangrove forests as wastelands and unhealthy environments helped promote their degradation because_____

Is lactobacilli bacteria eukaryotic or prokaryotic?

How much tension must a rope withstand if used to accelerate a 960-kg car from rest horizontally along a frictionless surface to 1.20 m/s in 5 seconds?

Although Plato and Aristotle disagreed with democritus what did his theory suggest was true about all matter?

Is a taste bud cell eukaryotic or prokaryotic?