SOLUTION: Write the polynomial as a product of linear factors. Hint: The polynomial has at least one rational zero. p(x)=x^3+2x^2+3x+6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the polynomial as a product of linear factors. Hint: The polynomial has at least one rational zero. p(x)=x^3+2x^2+3x+6       Log On


   

Question 992556: Write the polynomial as a product of linear factors. Hint: The polynomial has at least one rational zero.

p(x)=x^3+2x^2+3x+6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the polynomial as a product of linear factors. Hint: The polynomial has at least one rational zero.
p(x)=x^3+2x^2+3x+6
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P(x) = x^2(x+2)+3(x+2)
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P(x) = (x+2)(x^2+3)
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P(x) = (x+2)(x+isqrt(3))(x-isqrt(3))
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Cheers,
Stan H.
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