Question
Download Solution PDFIf 5x3 + 5x2 – 6x + 9 is divided by (x + 3), then the remainder is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Remainder theorem:
If a polynomial p(x) is divided by (x−a), then the remainder is a
constant given by p(a).
Calculation:
Let p(x) = 5x3 + 5x2 – 6x + 9
Since, (x + 3) divide p(x), then, remainder will be p(-3).
⇒ p(-3) = 5 × (-3)3 + 5 × (-3)2 – 6 × (-3) + 9
⇒ p(-3) = -63
Last updated on Jun 26, 2025
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