jika (2x-1) adalah faktor dari suku banyak f(x) = 2x³+x²-5x+p. faktor yang lain adalah

<p>jika (2x-1) adalah faktor dari f(x)= 2x³+x²-5x+p, maka artinya f(x)=0, sehingga, 2x-1=0, x=1/2.</p><p>sehingga, f(1/2) = 2 (1/2)³+(1/2)²-5(1/2)+p</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 0 &nbsp; &nbsp; = 2 (1/8)+1/4-5/2+p</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 0 &nbsp; &nbsp; &nbsp;= 1/4+1/4-5/2+p</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 0 &nbsp; &nbsp; &nbsp;= 2/4-5/2+p</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 0 &nbsp; &nbsp; &nbsp; = 1/2-5/2+p</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;0 &nbsp; &nbsp; &nbsp; = -4/2+p</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;2 &nbsp; &nbsp; &nbsp; &nbsp;p</p><p>maka, f(x)=2x³+x²-5x+2</p><p>faktor lainnya adalah (x-1)</p><p>karena jumlah koefisien pangkat ganjil = jumlah koefisien pangkat genap</p><p>jumlah koefisien pangkat ganjil = 2</p><p>jumlah koefisien pangkat genap = 3-1 = 2</p>