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Use the Rational Roots Theorem to solve the equation for the rational roots

x3 - 3x2 + 4x - 12 = 0

Hi Ashley, I will be glad to help you.

The rational roots theorem says that if a polynomial with integer coefficients has rational roots they would be of the form

The polynomial x3 - 3x2 + 4x -12 nicely factors by grouping

x3 - 3x2 + 4x -12

x2(x - 3) + 4(x - 3)

(x2 + 4)(x - 3)

The integer root is 3

I hope this helps

Anne

Algebra

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