1) When the polynomial 3x^3+ax^2+bx-9 is divided by x-2, the remainder is -5. When it is divided by x+1, the remainder is -16. Determine the values of a and b.
2) Determine the values of m and n so that the polynomial 2x^3+mx^2+nx-3 and x^3-3mx^2+2nx+4 are both division by x-2.
Help PLease? and show full solution if you possiblely can...
huh? yaa i know how to do that,
but there i are 2 unknown varaible in the equations, a and b
i just dont know how to get rid one...
well...
3(2)^3+a(2)^2+b(2)-9 = -5
24+2a+2b-9 = -5
15+2a+2b = -5
2a+2b = -20
a+2b = -10
a+b = -5
3(-1)^3+a(-1)^2+b(-1)-9 = -16
-3+a-b-9 = -16
a-b-12 = -16
a-b = -4
now im stuck...