Question

if u solve this than u will become a 101% branilist

Answer 1

Heya user ,
Here is your answer !!

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( x + 2 ) is a factor of ( x³ + 13x² + 32x + 20 ) .

So , dividing ( x³ + 13x² + 32x + 20 ) by ( x + 2 ) ,

we get , another factor ( x² + 11x + 10 )


Now , we can also middle term factorise the term ( x² + 11x + 10 ) .

x² + 11x + 10
= x² + 10x + x + 10
= x ( x + 10 ) + 1 ( x + 10 ) .
= ( x + 1 ) ( x + 10 ) .

So , the factors of ( x³ + 13x² + 32x + 20 ) are ----->
( a ) ( x + 1 ) .
( b ) ( x + 10 ) .
( c ) ( x + 2 ) .

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Hope it helps !!