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Tentukan polinomial  dan  dengan ketentuan berikut. b.  berderajat 4 dengan syarat .

Pertanyaan

Tentukan polinomial begin mathsize 14px style p left parenthesis x right parenthesis end style dan begin mathsize 14px style q left parenthesis x right parenthesis end style dengan ketentuan berikut.

b. undefined berderajat 4 dengan syarat begin mathsize 14px style p left parenthesis x right parenthesis equals left parenthesis q left parenthesis x right parenthesis right parenthesis squared end style.

Pembahasan Video:

Pembahasan Soal:

Diketahui: begin mathsize 14px style p open parentheses x close parentheses end style berderajat 4, syarat begin mathsize 14px style p open parentheses x close parentheses equals open parentheses q open parentheses x close parentheses close parentheses squared end style

Misal: begin mathsize 14px style p open parentheses x close parentheses equals a x to the power of 4 plus b x cubed plus c x squared plus d x plus e end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell p left parenthesis x right parenthesis end cell equals cell left parenthesis q left parenthesis x right parenthesis right parenthesis squared space end cell row cell left parenthesis a x to the power of 4 plus b x cubed plus c x squared plus d x plus e right parenthesis to the power of bevelled 1 half end exponent end cell equals cell left parenthesis left parenthesis q left parenthesis x right parenthesis right parenthesis squared right parenthesis to the power of bevelled 1 half end exponent space end cell row cell square root of a x to the power of 4 plus b x cubed plus c x squared plus d x plus e end root end cell equals cell q left parenthesis x right parenthesis end cell end table end style  

Contoh: Misal begin mathsize 14px style p open parentheses x close parentheses equals x to the power of 4 plus x cubed plus x squared plus x plus 1 blank end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell p left parenthesis x right parenthesis end cell equals cell left parenthesis q left parenthesis x right parenthesis right parenthesis squared space end cell row cell left parenthesis x to the power of 4 plus x cubed plus x squared plus x plus 1 right parenthesis to the power of bevelled 1 half end exponent end cell equals cell left parenthesis left parenthesis q left parenthesis x right parenthesis right parenthesis squared right parenthesis to the power of bevelled 1 half end exponent space end cell row cell square root of x to the power of 4 plus x cubed plus x squared plus x plus 1 end root end cell equals cell q left parenthesis x right parenthesis end cell end table end style 

Jadi, polinomial begin mathsize 14px style p left parenthesis x right parenthesis equals x to the power of 4 plus x cubed plus x squared plus x plus 1 blank end styledan begin mathsize 14px style q open parentheses x close parentheses equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of x to the power of 4 plus x cubed plus x squared plus x plus 1 end root end cell end table end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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