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Question

Simplify:-
x3+13x2+32x+20

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Solution

x3+13x2+32x+20
Put x=1
1+1332+20
3333
=0
Hence (x+1) is a factor of the eqn

x2+12x+20x+1)¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯x3+13x2+32x+20x3+x2________________ 12x2+32x 12x2+12x__________________20x+2020x+20_________________0

(x+1)(x2+12x+20)
(x+1)(x2+10x+2x+20)
(x+1)(x(x+10)+2(x+10))
(x+1)(x+10)(x+2)








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