Joan K.

asked • 02/15/22

Algebra 2 Honors Factoring Problem

Factor P(x) = x^4-6x^3+14^2-6x+13 into LINEAR factors given that 3+2i is a zero of P(x).

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Mark M. answered • 02/15/22

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3 - 2i is also a root.

Therefore (x - (3 - 2i))(x - (3 + 2i)) is also a root.

Expand and divide.

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Joan K.

I found that expanding (x - (3 - 2i))(x - (3 + 2i)) would equal to x^2-6x+13. From there, how would i find the other roots? Would i just divide the original polynomial by x^2-6x+13?
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02/15/22

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