6. When the polynomial P(x) = 3x³ + ax² + bx - 9 is divided by x - 2, the remainder is -5. When P(x) is divided by x + 1, the remainder is -16. What are the values of a and b?

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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6. When the polynomial P(x) = 3x³ + ax² + bx - 9 is divided by x-2, the remainder is -5.
When P(x) is divided by x + 1, the remainder is -16. What are the values of a and b?
Transcribed Image Text:6. When the polynomial P(x) = 3x³ + ax² + bx - 9 is divided by x-2, the remainder is -5. When P(x) is divided by x + 1, the remainder is -16. What are the values of a and b?
Expert Solution
Step 1: We are using the remainder theorem

By the Remainder theoremIf P(x) is divided by (xa) Remainder=P(a)

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