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anonymous
 one year ago
What is the factorization of the polynomial graphed below? Assume it has no constant factor.
anonymous
 one year ago
What is the factorization of the polynomial graphed below? Assume it has no constant factor.

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1This polynomial has three distinct roots, and the shape of an odd function. So we should expect a third degree polynomial. One of the roots of this polynomial is \(\large\rm x=1\). See how it passes through x=1? :) Subtract 1 from each side,\[\large\rm x1=0\]That tells us that one of the factors of our polynomial will be: \(\large\rm (x1)\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1How bout the other roots? See any others? :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Mmm 3 sounds good: \(\large\rm x=3\qquad\to\qquad (x3)=0\) 5 also: \(\large\rm x=5\qquad\to\qquad (x5)=0\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So bam! There's your polynomial! :) Just multiply those factors together. \(\large\rm =(x1)(x3)(x5)\)
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