FOR WHAT VALUE OF K IS THE POLYNOMIAL P(X)=2X³-KX²+3X+10 EXACTLY DIVISIBLE BY (X-2)
Answers
Answered by
9
Answer:
k=8
Step-by-step explanation:
x-2 means x=2
therefore,p(2)=0
=>2(2)³-k(2)²+3(2)+10=0
=>16-4k+6+10=0
=>32-4k=0
=>-4k=-32
=>k=8
Answered by
4
Answer:
When p(x) is divided by (x-2)
X-2=0, x = 2 is substituted in p(x)
P(x) =2x^3 - KX^2 + 3x +10
P(2) =2*(2)^3 - K*(2)^2 +3*2 +10 = 0
=> 2*8 - K*4 +6 +10 =0
=> 16 - 4K +16 =0
=> 32 = 4 k
=> K =32/4
=> K = 8
The value of K is 8
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