Find the value of a, if the division of ax³ + 9x² + 4x - 10 by x + 3 leaves a remainder 5.
Factorisation
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Question

Find the value of a, if the division of ax³ + 9x² + 4x - 10 by x + 3 leaves a remainder 5.

KnowledgeBoat · Accepted Answer

x + 3 = 0 ⇒ x = -3. Given, when ax³ + 9x² + 4x - 10 is divided by x + 3, the remainder is 5. ∴ On substituting x = -3 in ax³ + 9x² + 4x - 10, remainder = 5. ⇒ a(-3)³ + 9(-3)² + 4(-3) - 10 = 5 ⇒ -27a + 81 - 12 - 10 = 5 ⇒ -27a + 59 = 5 ⇒ 27a = 59 - 5 ⇒ 27a = 54 ⇒ a = = 2 Hence, a = 2.

Mathematics

Find the value of a, if the division of ax³ + 9x² + 4x - 10 by x + 3 leaves a remainder 5.

Factorisation

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Mathematics

Find the value of a, if the division of ax3 + 9x2 + 4x - 10 by x + 3 leaves a remainder 5.

Factorisation

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