Determine the values of a and b in the following if:
(i) (x - 3) and (x + 1) are factors of x ^ 3 + ax ^ 2 + bx + 9.
(ii) (x + 1) is a factor of 2x ^ 3 + ax ^ 2 + bx - 2 and when this polynomial is divided by (x + 2) the remainder is -12.
answers:
(i) a= -5, b=6
(ii)a= -1, b= -5
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Answer:
a=4
b=9
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