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Show all work to factor x4 − 17x2 + 16 completely.
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1 vote
Show all work to factor x4 − 17x2 + 16 completely.

User Nagul
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2 Answers

5 votes

Answer:

(u-16) (u-1) =0

Explanation:

User Metrics
by
5.3k points
3 votes

Answer:

Explanation:


put x^(2)=y\\squaring\\x^(4)=y^(2)\\y^2-17y+16=y^2-y-16y+16=y(y-1)-16(y-1)=(y-1)(y-16)\\replacing the value of y\\x^4-17x^2+16=(x^2-1)(x^2-16)=(x+1)(x-1)(x+4)(x-4)

User Morgs
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