if 2x⁴-6x³+kx²+3x-2 is divisible by x-2 then find k
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Step-by-step explanation:
let , f(x) = 2x⁴-6x³+kx²+3x-2
f(x) is divisible by x-2 then
f(2) = 2.2⁴-6.2³+k.2²+3.2 - 2 = 0
so, 32 - 48 + 4k + 6 -2 = 0
or, 4k = 12
or, k = 3
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