brookemapp153 brookemapp153
  • 13-06-2020
  • Mathematics
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Factor the expression X^4+6X^2 – 7 completely.

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tramserran
tramserran tramserran
  • 13-06-2020

Answer: (x - 1)(x + 1)(x + 7)²

Step-by-step explanation:

x⁴ + 6x² - 7

find two numbers whose product is -7 and sum is +6    -->    -1 & 7

Those values go into the parenthesis: (x² - 1)(x + 7)²

Notice that (x² - 1) is the difference of squares  -->  (x - 1)(x + 1)

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