Iklan

Iklan

Pertanyaan

Diketahui polinomial f ( x ) = x 2 − 3 dan g ( x ) = x 3 − 4 x 2 − 5 x + 2 . Jika h ( x ) = 3 f ( x ) − f ( x ) ⋅ g ( x ) , tentukan derajat polinomial h ( x ) .

Diketahui polinomial  dan . Jika , tentukan derajat polinomial .

  1. ...undefined 

  2. ...space 

Iklan

J. Joko

Master Teacher

Jawaban terverifikasi

Iklan

Pembahasan

Pembahasan
lock

Polinomial dan Maka Karena , pangkat tertinggi adalah 5. Maka polinomial berderajat 5.

Polinomial begin mathsize 14px style f left parenthesis x right parenthesis equals x squared minus 3 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x cubed minus 4 x squared minus 5 x plus 2 end style

begin mathsize 14px style h left parenthesis x right parenthesis equals 3 f left parenthesis x right parenthesis minus f left parenthesis x right parenthesis times g left parenthesis x right parenthesis end style 
Maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell h left parenthesis x right parenthesis end cell equals cell 3 times left parenthesis x squared minus 3 right parenthesis minus left parenthesis x squared minus 3 right parenthesis times left parenthesis x cubed minus 4 x squared minus 5 x plus 2 right parenthesis end cell row blank equals cell 3 x squared minus 9 minus x squared times left parenthesis x cubed minus 4 x squared minus 5 x plus 2 right parenthesis plus 3 times left parenthesis x cubed minus 4 x squared minus 5 x plus 2 right parenthesis end cell row blank equals cell 3 x squared minus 9 minus x to the power of 5 plus 4 x to the power of 4 plus 5 x cubed minus 2 x squared plus 3 x cubed minus 12 x squared minus 15 x plus 6 end cell row blank equals cell negative x to the power of 5 plus 4 x to the power of 4 plus 8 x cubed minus 11 x squared minus 15 x minus 3 end cell end table end style 

Karena Error converting from MathML to accessible text. , pangkat tertinggi begin mathsize 14px style x end style adalah 5. Maka polinomial begin mathsize 14px style h left parenthesis x right parenthesis end style berderajat 5.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

1

Iklan

Iklan

Pertanyaan serupa

Diberikan polynomial A ( x ) B ( x ) C ( x ) ​ = = = ​ x 2 − 3 x + 2 , x 3 − 2 , x 3 − 4 x 2 + 5 x . ​ Tentukan : b. [ C ( x ) − B ( x ) ] [ A ( x ) + C ( x ) ] serta derajatnya

1

5.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia