Question

For what value of K is the polynomial p(x)=2x cube - kx square + 5x +9 exactly divisible by (x+2)

Answer 1

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Answer 2

Answer:

p(X) = 2x^3-kx^2+5x+9.......(1)

g(X)= (X+2)

X = -2............(2)

putting the value of (2) in (1):

: 2(-2)^3 -k(-2)^2 +5(-2) +9=0

: 2(-8) -k (+4) -10+9 =0

: -16 -4k -1 =0

: -17 -4k =0

: -4k = 17

: k = -17/ 4

answer...