Question

What must be added to f(x) = 4x4 + 2x3 -2x2 + x – 1 so that the resulting

polynomial is divisible by x2 + 2x – 3​

Answer 1

Answer:

hello friend

Step-by-step explanation:

refer to above attachment!

Answer 2

Step-by-step explanation:

$by \: euclids \: division \: lemma \\ f(x) = g(x) \times q(x) + r(x) \\ f(x) + ( - r(x)) = g(x) \times q(x) \\ hence \: - r(x) \: must \: be \: added \\ to \: f(x) \: so \: the \: resulting \: \\ polynomial \: must \: be \: divided \\ by \: g(x)$