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Hasil penjumlahan polinomial 2x5−5x4+2x3−4x+3 dan x3−4x2+3x−5 adalah ...

Pertanyaan

Hasil penjumlahan polinomial begin mathsize 14px style 2 x to the power of 5 minus 5 x to the power of 4 plus 2 x cubed minus 4 x plus 3 end style dan begin mathsize 14px style x cubed minus 4 x squared plus 3 x minus 5 end style adalah ...

  1. begin mathsize 14px style 3 x to the power of 5 minus 5 x to the power of 4 plus 3 x cubed minus 4 x squared minus x minus space 2 end style 

  2. begin mathsize 14px style 3 x to the power of 5 minus 5 x to the power of 4 plus 2 x cubed minus 4 x squared minus x minus space 2 end style 

  3. begin mathsize 14px style 2 x to the power of 5 minus 5 x to the power of 4 plus 3 x cubed minus x squared minus 7 x minus space 2 end style 

  4. begin mathsize 14px style 2 x to the power of 5 minus 5 x to the power of 4 plus 3 x cubed minus 4 x squared minus x minus space 2 end style 

  5. begin mathsize 14px style 2 x to the power of 5 minus 5 x to the power of 4 plus 2 x cubed minus 4 x squared minus 7 x minus space 2 end style 

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Ingat kembali konsep penjumlahan polinomial sebagai berikut:

Penjumlahan polinomial dilakukan pada koefisien dengan variabel berderajat sejenis.

Oleh karena itu, diperoleh

begin mathsize 14px style left parenthesis 2 x to the power of 5 minus 5 x to the power of 4 plus 2 x cubed minus 4 x plus 3 right parenthesis plus left parenthesis x cubed minus 4 x squared plus 3 x minus 5 right parenthesis equals 2 x to the power of 5 minus 5 x to the power of 4 plus left parenthesis 2 x cubed plus x cubed right parenthesis minus 4 x squared plus space space space space left parenthesis negative 4 x plus 3 x right parenthesis plus left parenthesis 3 minus 5 right parenthesis equals 2 x to the power of 5 minus 5 x to the power of 4 plus 3 x cubed minus 4 x squared minus x minus 2 end style 

Hasil penjumlahan polinomial adalah begin mathsize 14px style 2 x to the power of 5 minus 5 x to the power of 4 plus 3 x cubed minus 4 x squared minus x minus 2 end style 

Jadi, jawaban yang tepat adalah D.

1rb+

4.2 (5 rating)

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Diberikan polinomial f(t)=t3−7t2+18t−10 dan g(t)=−t3−7t2−18t+10. Tentukan f(t)+g(t) serta derajatnya.

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Jawaban terverifikasi

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