Question 941465
The description means that two of the points for R(x) are (-1,-15) and (2,39).  Check in your textbook about the Remainder Theorem and the Factor Theorem.


Turn the form of the equations around this way, and form the system using the two points.


{{{x^4+Ax^3+Bx^2+10x-1=R}}}


{{{system((-1)^4+A(-1)^3+B(-1)^2+10(-1)-1=-15,2^4+A(2)^3+B(2)^2+10*2-1=39)}}}



{{{system(1-A+B-10-1=-15,16+8A+4B+20-1=39)}}}


{{{system(A+B=-5,8A+4B=4)}}}


{{{highlight_green(system(A+B=-5,2A+B=1))}}}


Simple system to solve.
R2-R1 gives {{{highlight(A=6)}}}, from this, {{{highlight(B=-11)}}}.