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The polynomial x3 + 2x2 – 5bx – 8 and x3 + bx2 – 12x – 11 when divided by (x – 2) and (x – 3)leave remainder p and q respectively. If –p + q = 10, find the value of b.

Question

The polynomial x3 + 2x2 – 5bx – 8 and x3 + bx2 – 12x – 11 when divided by (x – 2) and (x – 3)leave remainder p and q respectively. If –p + q = 10, find the value of b.

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Solution

The polynomial x3 + 2x2 – 5bx – 8 and x3 + bx2 – 12x – 11 when divided by (x – 2) and (x – 3)leave remainder p and q respectively. If –p + q = 10, find the value of b.

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