For what value of k is the polynomial 2x^3 -kx^2 +5x+9 exactly divisible by x-2
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Answer:k=35/4
Step-by-step explanation:
1. For the polynomial to be exactly divisible by (x-2), f(2)=0
2. 2(2)³-k(2)²+5(2)+9=0.
16-4k+10+9=0
-4k=-35
k=35/4
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