Find the value of K x+2 is a factor of 2x³+kx²+x-10
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Answered by
6
Answer:
x+2is factor
sox=-2
p(-2)=2x^3+kx^2+x-10
0=2(-2)^3 + k(-2)^2+(-2)-10
0=2 ×-8+k×4 -12
0=-16+4k-12
0=-28+4k
0+28=4k
28/4=k
7=k
Answered by
0
Step-by-step explanation:
We have, x +2 is a factor of 2x³+kx²+x-10.
So, x = -2
Now, on putting the value of x, We get
≈ 2(-8) +4k+(-2)-10 = 0
≈ -16+4k-2-10 = 0
≈ 4k-28 = 0
≈ 4k = 28
≈ k = 7
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