anonymous
  • anonymous
What is the factorization of the polynomial graphed below? Assume it has no constant factor.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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zepdrix
  • zepdrix
This 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,\[\large\rm x-1=0\]That tells us that one of the factors of our polynomial will be: \(\large\rm (x-1)\)
zepdrix
  • zepdrix
How bout the other roots? See any others? :)

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anonymous
  • anonymous
5 or 3 ?
zepdrix
  • zepdrix
Mmm 3 sounds good: \(\large\rm x=3\qquad\to\qquad (x-3)=0\) 5 also: \(\large\rm x=5\qquad\to\qquad (x-5)=0\)
zepdrix
  • zepdrix
So bam! There's your polynomial! :) Just multiply those factors together. \(\large\rm =(x-1)(x-3)(x-5)\)
anonymous
  • anonymous
Thank you !
zepdrix
  • zepdrix
yay team \c:/

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