Q6 of 274 Page 59

(2x-3) is a factor of

From the factor theorem, we have


(x – a) is the factor of f(x) if f(a) = 0


Here, we have


2x – 3 = 0


x =







= 0


Therefore,


(2x – 3) is a factor of (2x4 + x3 – 8x2 – x + 6)


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