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Elodia [21]
3 years ago
6

What is the completely factored form of x4 8x2 – 9?

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0

For this case we have the following polynomial:

x ^ 4 + 8x ^ 2 - 9

We make the following change of variables:

u = x ^ 2

Rewriting we have

u ^ 2 + 8u - 9

Factoring the second order polynomial we have:

(u + 9) (u-1)

Then, returning the change we have:

(x ^ 2 + 9) (x ^ 2-1)

Finally, we factor the expression in the parentheses of the second term:

(x ^ 2 + 9) (x + 1) (x-1)

Answer:

the completely factored form is:

(x ^ 2 + 9) (x + 1) (x-1)

REY [17]3 years ago
3 0
The answer for X^4 + 8x^2 -9
is
(x+1)(x-1)(x^2+9)
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