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What is the completely factored form of this polynomial? x4 − 8x2 + 16
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What is the completely factored form of this polynomial? x4 − 8x2 + 16

User Tzik
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1 Answer

10 votes

Explanation:


x {}^(4) - 8x {}^(2) + 16 \\ \\ by \: using \: middle \: term \: split \\ \\ x {}^(4) - 4x {}^(2) - 4x {}^(2) + 16 \\ \\ taking \: out \: common \\ \\ x {}^(2) (x { - 4)} - 4(x {}^(2) - 4) \\ \\ (x {}^(2) - 4)(x {}^(2) - 4)

User Tobias Otto
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