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If (x – 3) and (x – 1/2) are both factors of ax^2 + 5x + b, show that a = b.

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If (x – 3) and (x – 1/2) are both factors of ax2 + 5x + b, show that a = b.

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Let p(x) = ax2 + 5x + b

x – 3 is a factor of p(x).

p(3) = 0

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