Math, asked by mrigakshichoudhury19, 2 months ago

Express into factors:
x³+13x²+32x+20​

Answers

Answered by ITZBFF
38

 \mathsf \red{ {x}^{3}  + 13 {x}^{2} + 32x + 20 } \\

 \mathsf{ =  \:  {x}^{3} +  {x}^{2}  + 12 {x}^{2}  + 12x + 20x + 20 \:  \:  \:  \:   } \\  \\  \mathsf{  =  \: {x}^{2}(x + 1) + 12x(x + 1) + 20(x + 1) } \\  \\  \mathsf{ =  \: (x + 1).( {x}^{2}  + 12x + 20) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  } \\  \\  \mathsf{ =  \: (x + 1).( {x}^{2}  + 2x + 10x + 20) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: } \\  \\  \mathsf{ =  \:  (x + 1).\Big(x(x + 2) + 10(x + 2)\Big) \:  \:  \:  \:  \:  \:  \:  \:} \\  \\  \mathsf{ =  \: (x + 1).(x + 2).(x + 10) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }  \\  \\  \boxed{ \mathsf \red{ \therefore \: roots \: are :  \: (x + 1).(x + 2).(x + 10)}}

\mathsf{}

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Answered by sangameshsuntyan
0

Answer:

hello bro

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have a nice day

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