When 2x³ - 9x² + 10x - p is divided by (x + 1), the remainder is -24. Find the value of p.
Factorisation
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Question

When 2x³ - 9x² + 10x - p is divided by (x + 1), the remainder is -24. Find the value of p.

KnowledgeBoat · Accepted Answer

By remainder theorem, on dividing f(x) by (x - a), the remainder left is f(a). f(x) = 2x³ - 9x² + 10x - p ∴ On dividing f(x) by (x + 1) or (x - (-1)), Remainder = f(-1) Given, remainder = -24 ∴ -21 - p = -24 Hence, the value of p is 3.

Mathematics

When 2x³ - 9x² + 10x - p is divided by (x + 1), the remainder is -24. Find the value of p.

Factorisation

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Mathematics

When 2x3 - 9x2 + 10x - p is divided by (x + 1), the remainder is -24. Find the value of p.

Factorisation

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