plzz solve x^3 + 13x^2+32x+20
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BY HIT AND TRAIL METHOD,
PUT X=-1
-1^3+13×-1^2+32×-1+20
=-1+13-32+20
=0
FACTOR=(X+1)
NOW,
X^3+13X^2+32X+20 ÷ X+1
=X^2+12X+20
FACTOR=(X+1) (X^2+12X+20)
=(X+1) (X^2+10X+2X+20)
=(X+1) (X(X+10)+2(X+10))
=(X+1) (X+2) (X+10)
PUT X=-1
-1^3+13×-1^2+32×-1+20
=-1+13-32+20
=0
FACTOR=(X+1)
NOW,
X^3+13X^2+32X+20 ÷ X+1
=X^2+12X+20
FACTOR=(X+1) (X^2+12X+20)
=(X+1) (X^2+10X+2X+20)
=(X+1) (X(X+10)+2(X+10))
=(X+1) (X+2) (X+10)
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