document.write( "Question 1177784: https://gyazo.com/5564d9bf43770b396a007976c63f945a \n" ); document.write( "

Algebra.Com's Answer #806893 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "if $\"f%28-3%29=0\"$ we know one root is $\"x%5B1%5D=-3\"$ \r
\n" ); document.write( "\n" ); document.write( "using the product rule, we know that $\"%28x-%28-3%29%29=%28x%2B3%29\"$ will be one factor and \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=8x%5E3%2B74x%5E2%2B200x%2B150\"$ will be divisible by $\"%28x%2B3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "using long division or calculator, we get\r
\n" ); document.write( "\n" ); document.write( " $\"%288+x%5E3+%2B+74+x%5E2+%2B+200+x+%2B+150%29%2F%28x+%2B+3%29=8+x%5E2+%2B+50+x+%2B+50\"$ \r
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\n" ); document.write( "\n" ); document.write( "so, factor $\"8+x%5E2+%2B+50+x+%2B+50+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%28+4x%5E2+%2B+25x+%2B+25%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%28+4x%5E2+%2B+20x%2B5x+%2B+25%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%28+%284x%5E2+%2B+20x%29%2B%285x+%2B+25%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%284x+%28x+%2B+5%29%2B5%28x+%2B+5%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2+%28x+%2B+5%29+%284x+%2B+5%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "other factors are $\"2+%28x+%2B+5%29+%284x+%2B+5%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( " $\"8+x%5E3+%2B+74+x%5E2+%2B+200+x+%2B+150+=+2+%28x+%2B+5%29+%284x+%2B+5%29+%28x+%2B+3%29+\"$ \r
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