SOLUTION: A polynomial P is given
a.) Factor P into linear and irreducible quadratic factors with real coefficients.
b.) Factor P completely into linear factors with complex coefficients
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-> SOLUTION: A polynomial P is given
a.) Factor P into linear and irreducible quadratic factors with real coefficients.
b.) Factor P completely into linear factors with complex coefficients
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Question 33927This question is from textbook College Algebra
: A polynomial P is given
a.) Factor P into linear and irreducible quadratic factors with real coefficients.
b.) Factor P completely into linear factors with complex coefficients
46.) P(x) = x^3-2x-4
I got: a.) (x-4)(x^2-2)
b.) (x-4)(x-2i)(x+2i) is this factored correctly?
48.) P(x) = x^4+8x^2+16
a.) (x^2+4)^2
b.) (x-2i)^2(x+2i)^2
Sorry, I'm getting mixed up with the imaginary numbers!
Thank you very much - this is a tremendous help! This question is from textbook College Algebra
You can put this solution on YOUR website! x^2-2x-4
(x-2)(x^2+2x+2)
Using the quadratic formula on x^2+2x+2 get:
x=[-2+-sqrt(4-8)]/2
x=-1+2i or x=-1-2i
Factors are (x-2)(x+1-2i)(x+1+2i)
x^4+8x^2+16
(x^2+4)^2
(x+2i)^2(x-2i)^2
Cheers,
Stan H.
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