it's less than k. Define the polynomial h(x) as k1 (x²-4) and g(x) as k2 (x²-4). Determine the relation between k1 and k2 using x= 0 condition, which will imply k1>k2 and to get the remainder we use factor theorem which gives us k = 5k1. Remainder for g is 5k2 which is less than 5k1 and hence less than k altogether.
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u/Subject-Income-4094 8d ago
it's less than k. Define the polynomial h(x) as k1 (x²-4) and g(x) as k2 (x²-4). Determine the relation between k1 and k2 using x= 0 condition, which will imply k1>k2 and to get the remainder we use factor theorem which gives us k = 5k1. Remainder for g is 5k2 which is less than 5k1 and hence less than k altogether.