wilsonr4322
wilsonr4322 wilsonr4322
  • 20-09-2018
  • Mathematics
contestada

Write a linear factorization of the function. f(x) = x4 + 64x2
f(x) = x2(8x + i)(8x - i)
f(x) = x2(x + 8i)2
f(x) = x2(x + 8i)(x - 8i)
f(x) = x2(8x + i)2

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 27-09-2018

We were given ;


f(x) = x⁴ + 64x²


x² is common to both terms so we factor it.


» f(x) = x²(x² + 64)


Now x² +64 has complex factors of (x+8i)(x-8i)


» f(x) = x²(x+8i)(x-8i)


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