document.write( "Question 1180341: Given that -2,4,-5 are solutions to the polynomial equation, what are the factors? \n" ); document.write( "

Algebra.Com's Answer #809971 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The question as worded can't be answered; it is not defined well enough.

\n" ); document.write( "So I will ignore the question that is shown in your post and answer the question you undoubtedly intended to ask.

\n" ); document.write( "If a polynomial equation can be written in factored form as

\n" ); document.write( " $\"a%28x-p%29%28x-q%29%28x-r%29=0\"$

\n" ); document.write( "then p, q, and r are solutions to the equation, i.e., roots of the equation.

\n" ); document.write( "Conversely, if p, q, and r are the roots of a cubic polynomial equation, then the equation can be written in that factored form.

\n" ); document.write( "So, in your example, with roots -2, 4, and -5, the equation can be written in the form

\n" ); document.write( " $\"p%28x%29+=+a%28x-%28-2%29%29%28x-4%29%28x-%28-5%29%29+=+a%28x%2B2%29%28x-4%29%28x%2B5%29\"$

\n" ); document.write( "So, written in that form, the factors of the equation are (x+2), (x-4), and (x+5).

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