Math, asked by pypushpa28p2jp8n, 1 year ago


 {x }^{2}  - 3 {x}^{2}  - 9x - 5

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Answered by Deepsbhargav
4
☆Hey friend!!! ☆

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Here is your answer ☞
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(a) \:  =  >  {x}^{2}  + 7x + 10 \\  \\  =  >  {x}^{2}   + 5x + 2x + 10 \\  \\  =  >  {x}^{2}  + 2x + 5x + 10 \\  \\  =  > x(x + 2) + 5(x + 2) \\  \\  =  > (x + 5)(x + 2) \\  \\ then \\  \\  =  > x =  - 5 \:  \:  \:  \: or \:  \:  \:  \: x =  - 2 \\  \\ hence \: the \: zeros \: of \: polynomial \: is \:  - 5 \: and \:  - 2 \\  \\  \\  \\ (b)  =  > {x}^{2}  - 25 \\  \\ we \: know \: that \: \\  ( {a}^{2}  -  {b}^{2} ) = (a + b)(a - b) \\  \\ by \: using \: this \: property \\  \\  =  >( \ {x }^{2}  - 25) =   ( {x}^{2}  -  {5}^{2} ) \\  \\  =  > (x + 5)(x - 5) \\  \\  =  > x =  - 5 \:  \:  \:  \:  \: or \:  \:  \:  \: x = 5 \\  \\ hence \: the \:  \: zeros \: are \: 5 \: and \:  - 5

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I think my answer is capable to clear your confusion ☺☺☺☺☺☺
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