Question 409248: Let r1, r2, and r3 be the zeros of the equation x^3+bx^2+cx+d=0. Use the factor theorem to write the polynomial as a product of linear factors in terms of r1, r2, and r3. Then express b in terms of r1, r2, and r3.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Let r1, r2, and r3 be the zeros of the equation x^3+bx^2+cx+d=0. Use the factor theorem to write the polynomial as a product of linear factors in terms of r1, r2, and r3. Then express b in terms of r1, r2, and r3.
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(x-r1)(x-r2)(x-r3) = 0
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Multiply those till you get a product
in x^3,x^2,x and a constand.
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Then "b" is the coefficient of x^2 expressed
in terms of r1,r2, and r3.
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Cheers,
Stan H.
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