using the remainder theorem, find the remainder p(x)=x3-ax2+6x-a,g(x)=x-a
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Step-by-step explanation:
ANSWER ::
The zero of the polynomial x - a is given by
x - a = 0
a = 0So
x = a
x = aLet f(x) = x³- ax² + 6x - a
x = aLet f(x) = x³- ax² + 6x - aNow by the Remainder Theorem the required Remainder is
x = aLet f(x) = x³- ax² + 6x - aNow by the Remainder Theorem the required Remainder is f(a) = a³- a×a² + 6a - a = a³- a³ + 5a = 5a
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