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Use the Rational Root Theorem and as many other special skills you have learned this quarter, to factor the following polynomial equation over the set of rational numbers. One root is +39.i. √6: x4 - 5x³+459x² +675x - 14850 = NOTE: If you find a complex conjugate pair, give the FOILed form, not two conplex conjugate factors. For example: instead of listing ( - 1-i√7) (x −1+ i√7) just give it as (2² - 2x + 8).

Use the Rational Root Theorem and as many other special skills you have learned this quarter, to factor the following polynomial equation over the set of rational numbers. One root is $+3−9⋅i⋅6 $ : $x_{4}−5x_{3}+459x_{2}+675x−14850=$ NOTE: If you find a complex conjugate pair, give the FOILed form, not two conplex conjugate factors. For example: instead of listing $(x−1−i7 )(x−1+i7 )$ just give it as $(x_{2}−2x+8)$.

To factor the polynomial equation over the set of rational numbers, we can use the Rational Root Theorem to find possible rational roots of the equation. The Rational Root Theorem states that if a rational number p/q is a root of the equation, then p must be a factor of the constant term (in this case, -14850) and q must be a factor of the leading coefficient (in this case, 1).

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