Find the value of k, if 2x - 3 is a factor of 2x® - 9x“ + x + k.
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Answer:
Step-by-step explanation:
p(x)=2x-3
p(x)=0
2x-3=0
2x=3
x=3/2
f(x)=2x³-9x²+x+k
f(3/2)=2(3/2)³-9(3/2)²+3/2+k
f(3/2)=-48+k/4
hence f(x)=0 then
-48+k/4=0
-48+k=0
k=48 ANSWER
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