Question

Jika f(x)=3x⁴+10x³+(p+1)x+9 habis dibagi (3x+1) bersisa 7 dan berapakah nilai p?

Answer 1

3x⁴+10x³+(p+1)x+9
karena dibagi (3x+1) sisa tujuh artinyajika x= -1/3 mka fx=7

3 (-1/3)⁴+10 (-1/3)³+(p+1)(-1/3)+9=7

3 / 81  -10/27 +(p+1)(-1/3)= -2

3/81 -30/81 -p/3 - 27/81= -2

p/3 = 2 - 54/81

p = 6 - 54/27 = 6 - 2 =4