Question

what is the value of k if 2x3 − 3x2 kx − 4 is divided by x − 3 and gives a remainder of −7? −10 −26 10 26

Answer 1

Hello,

..........|x^3......|x^2......|x^1......|x^0......
..........|2 .....|-3 ......|k ......|-4 ......
x=3....| .....|6 ......|9 ......|3k+27.
..........|2 .....|3 ......|k+9......|3k+23.

If remainder=-7 then -7=3k+23==>3k=-7-23==>3k=-30==>k=-10

Answer A