salah satu faktor dari suku banyak f(x)=2x3+ax2−11x+6 yaitu (X+2). Faktor linier yang lain adalah...

Pertanyaan

salah satu faktor dari suku banyak $f(x)=2x^3+ax^2-11x+6\;$ yaitu (X+2). Faktor linier yang lain adalah...

2x+1
2x+3
x-3
x-2
x-1

Pembahasan Soal:

$f left parenthesis x right parenthesis space equals space 2 x cubed space plus space a x squared space – space 11 x space plus space 6 space f left parenthesis negative 2 right parenthesis space equals space 2. left parenthesis negative 2 right parenthesis to the power of 3 space end exponent plus space a. left parenthesis negative 2 right parenthesis to the power of 2 space end exponent – space 11. left parenthesis negative 2 right parenthesis space plus space 6 space 0 equals space minus 16 space plus space 4 a space plus space 22 space plus space 6 space minus 4 a space equals space 12 space space space space a space equals space minus 3 space s e h i n g g a space f left parenthesis x right parenthesis space equals space 2 x cubed space minus space 3 x to the power of 2 space end exponent – space 11 x space plus space 6 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space left parenthesis x plus 2 right parenthesis. left parenthesis 2 x squared space – space 7 x space plus space 3 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space left parenthesis x plus 2 right parenthesis. left parenthesis 2 x minus 1 right parenthesis. left parenthesis x minus 3 right parenthesis$

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

N. Mustikowati

Mahasiswa/Alumni Universitas Negeri Jakarta

Terakhir diupdate 04 Oktober 2021