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Calculating the unknowns using remainder theorem
1) Determine the value of t if x³ + tx² + 8x + 21 divided by x + 1 gives a remainder of 16.
4
6
3
7
1/10
Solution
Answer:
4
Explanation:
a(x) = x³ + tx² + 8x + 21
b(x) = x + 1
R = 16
a (-1) = (−1)³ + t (−1)² + 8(−1) + 21
16 = −1 + t – 8 + 21
t = 4
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