Problem: If the remainder after dividing polynomial (5x³ - 3x² + k) by (x + 1) is 4. Which of the following must be the value of k?
Solution: Express the given polynomial as a function P(x). Let x + 1 is equal to zero then substitute the value of x to the polynomial function and to find the value of k, use the Remainder Theorem instead.
- Since dividing P(x) into x + 1 gives a remainder of 4, then P(-1) is 4.
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✏️REMAINDER THEOREM
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Problem: If the remainder after dividing polynomial (5x³ - 3x² + k) by (x + 1) is 4. Which of the following must be the value of k?
Solution: Express the given polynomial as a function P(x). Let x + 1 is equal to zero then substitute the value of x to the polynomial function and to find the value of k, use the Remainder Theorem instead.
- Since dividing P(x) into x + 1 gives a remainder of 4, then P(-1) is 4.
- Therefore, the value of k is:
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