Math, asked by gs9771973, 1 month ago

Check whether the polynomial g(x)=x²-3x + 1 is the factor of polynomial p(x) = x³ - 4x³ + x² + 3x + 1

i want answer in written on paper Please make it fast ​

Answers

Answered by bhumi4653
0

  - 3x - 8\\  \sqrt[ {x}^{2}  - 3x + 1]{ { - 3x}^{3}  +  {x}^{2}   + 3x + 1 } \\  \:  \:  \:  \:  - 3 {x}^{3}  + 9 {x}^{2}  - 3x \\ +  \:  \:  \:  \:  \:  \:  -  \:  \:  \:  \:  \:  \:  +  \:  \:    \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   -  -  -  -  -  -  -  -  -  -  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: - 8 {x}^{2}  + 6x + 1 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   - 8 {x}^{2}  + 24x - 8 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  +  \:  \:  \:  \:  \:  \:  \:   \:  -  \:  \:   \:  \:  \:  \:  \: \:  \:  + \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  -  -  -  -  -  -  -  -  -  -   \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   - 18x + 9

hence it is not a factor

Answered by superadityakumar9
0

hope its help you please mark me brillent

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