Pertanyaan

3. ( x 2 − 2 x + 3 ) ( x + 2 ) dibagi ( 2 x − 3 ) Jawab:

3. $(x^{2} - 2 x + 3) (x + 2)$ dibagi $(2 x - 3)$

Jawab: $\;$

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

hasil pembagiannya adalah

hasil pembagiannya adalah $fraction numerator open parentheses x squared minus 2 x plus 3 close parentheses open parentheses x plus 2 close parentheses over denominator 2 x minus 3 end fraction equals 1 half x squared plus 3 over 4 x plus 5 over 8 plus fraction numerator 63 over denominator 8 open parentheses 2 x minus 3 close parentheses end fraction.$

Pembahasan

Perhatikan penghitungan berikut! Jadi, hasil pembagiannya adalah

Perhatikan penghitungan berikut!

$open parentheses x squared minus 2 x plus 3 close parentheses open parentheses x plus 2 close parentheses equals x squared times x minus 2 x times x plus 3 times x plus 2 times x squared minus 2 x times 2 plus 3 times 2 equals x cubed minus up diagonal strike 2 x squared end strike plus 3 x plus up diagonal strike 2 x squared end strike minus 4 x plus 6 equals x cubed minus x plus 6 sehingga comma long division by table row cell 2 x minus 3 end cell end table yields table row cell 1 half x squared plus 3 over 4 x plus 5 over 8 end cell end table pile bottom enclose table row cell x cubed minus x plus 6 space space space space space space space space end cell row cell x cubed minus 3 over 2 x squared space space space space space minus end cell end table end enclose bottom enclose table row cell 3 over 2 x squared minus x plus 6 space space space space space space space end cell row cell 3 over 2 x squared minus 9 over 4 x space space space space space space minus end cell end table end enclose bottom enclose table row cell 5 over 4 x plus 6 space space space space space space space space space space space space space space end cell row cell 5 over 4 x minus 15 over 8 space space space space space space space minus end cell end table end enclose 63 over 8 end pile end long division maka comma fraction numerator open parentheses x squared minus 2 x plus 3 close parentheses open parentheses x plus 2 close parentheses over denominator 2 x minus 3 end fraction equals 1 half x squared plus 3 over 4 x plus 5 over 8 plus fraction numerator 63 over denominator 8 open parentheses 2 x minus 3 close parentheses end fraction$

Jadi, hasil pembagiannya adalah $fraction numerator open parentheses x squared minus 2 x plus 3 close parentheses open parentheses x plus 2 close parentheses over denominator 2 x minus 3 end fraction equals 1 half x squared plus 3 over 4 x plus 5 over 8 plus fraction numerator 63 over denominator 8 open parentheses 2 x minus 3 close parentheses end fraction.$