One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?
The answer is
x (x² + 5x + 6)
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x ( x + 3)
( x + 3 ) (x + 2)
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x + 3
x + 2
The given polynomial is :
\(x^{3}+5x^{2}+6x\)
One factor is given as : \(x^{2} +3x\) or \(x(x+3)\)
So, now solving this for 2nd factor, we get,
\(x(x^{2}+5x+6 )\)
\(x[(x^{2}+3x+2x+6)]\)
\(x(x+3)(x+2)\)
Hence, the second factor is (x+2)