i. Given that (x + 2) and (x + 3) are factors of 5x 3 + ax

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i. Given that (x + 2) and (x + 3) are factors of 5x3 + ax2 + b, find the values of the constants a and b.

ii. When a and b have these values, factorise 5x3 + ax2 + b completely, and hence solve the equation 53y+1 + a x 52 y  + b = 0, giving any answers correct to 3 significant figures.

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