Question

Find the value of k for which the cubic polynomial 3y3 - 32 y2 +ky + 5 ; is exactly divisible by ( y - 12 )

Answer 1

P(x) = 3y3-32y2+ky+5

g(x) = y-12

y = 12

= 3*12*12*12-32*12+12k+5 = 0

= 5184-384+12k+5=0

= 4800+12k+5=O

= 12k = -4805/12

k = -400.41

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