document.write( "Question 833323: The roots of a certain polynomial are -2/5, -6 and 4/3. What might the linear factors of the polynomial be? \n" ); document.write( "

Algebra.Com's Answer #502475 by DrBeeee(684) $\"\"$ $\"About$

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Given:
\n" ); document.write( "The roots of a polynomial are x = {-2.5,-6,4/3}.
\n" ); document.write( "If you have a single root such as
\n" ); document.write( "(1) x = -2.5
\n" ); document.write( "We can find the factor by adding 2.5 to each side to get the factor
\n" ); document.write( "(2) x + 2.5 = 0
\n" ); document.write( "Do this for the other two roots to get
\n" ); document.write( "(3) x + 6 = 0 and
\n" ); document.write( "(4) x - 4/3 = 0
\n" ); document.write( "Since the polynomial is the product of its factors, the polynomial is
\n" ); document.write( "(4) (x+2.5)*(x+6)*(x-4/3)
\n" ); document.write( "Answer: The linear factors of the polynomial might be {(x+2.5),(x+6),(x-4/3)}
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