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Author Question: Factor x4 + 4x3 + 4x2 - 9 into a product of linear factors and quadratic factors having no real roots. (Read 209 times)

Lobcity

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Question 1

Factor the polynomial  x4 - x3 - x2 + x  into a product of linear factors and quadratic factors having no real roots.
◦ x(x - 1)(x2 - 1)
◦ x(x + 1)(x - 1)2
◦ x(x - 1)(x + 1)2
◦ x(x + 1)(x + 1)2
◦ (x2 + 1)(x - 1)2

Question 2

Factor  x4 + 4x3 + 4x2 - 9  into a product of linear factors and quadratic factors having no real roots.
◦ (x2 - 2x + 3)(x2 + 2x + 3)
◦ (x2 - x + 9)(x2 + x + 1)
◦ (x - 1)(x + 3)(x2 + 2x + 3)
◦ (x - 1)2 (x + 3)2
◦ (x - 1)(x + 3)(x + 1)(x - 3)


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Marked as best answer by Lobcity on May 26, 2021

cat123

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Lobcity

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Reply 2 on: May 26, 2021
Great answer, keep it coming :)


Animal_Goddess

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Reply 3 on: Yesterday
YES! Correct, THANKS for helping me on my review

 

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