Ellis Cross
05/20/2024 · Senior High School
It is given that \( x-1 \) is a factor of \( f(x) \), where \( f(x)=x^{3}-6 x^{2}+a x+b \). (i) Express \( b \) in terms of a. [2] (ii) Show that the remainder when \( f(x) \) is divided by \( x-3 \) is twice the remainder when \( f(x) \) is divided by \( x-2 \). [4]
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(i) \( b = 5 - a \)
(ii) The remainder when \( f(x) \) is divided by \( x - 3 \) is twice the remainder when \( f(x) \) is divided by \( x - 2 \).
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