Solution: Find a and b in the expression x^4 + ax^3 + 5x^2 + bx + 6

The expression x^4 + ax^3 + 5x^2 + bx + 6 when divided by (x – 2) leaves a remainder of 16 and when divided by (x + 1) leaves a remainder of 10. Find a and b.

Find a and b in the expression x^4 + ax^3 + 5x^2 + bx + 6

Problem Statement:

The expression x^4 + ax^3 + 5x^2 + bx + 6 when divided by (x – 2) leaves a remainder of 16 and when divided by (x + 1) leaves a remainder of 10. Find a and b.
  • A. a = 5, b = 7
  • B. a = -5, b = 7
  • C. a = -5, b = -7
  • D. a = 5, b = -7

Problem Answer:

a and b are equal to -5 and 7 respectively.

Solution:

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