Use the factor theorem to find an unknown coefficient
11th grade (Year 12 in England) · 16 questions · Common Core: HSA.APR.B.2 · England: A-level Pure Mathematics
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Question 1
When 2x³ − 4x² + kx + 93 is divided by (x + 3), the remainder is 0. Find k.
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Question 2
(x + 2) is a factor of x³ + kx² + 1x − 2. Find k.
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Question 3
When x³ − x² + kx − 42 is divided by (x − 3), the remainder is 0. Find k.
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Question 4
(x + 3) is a factor of x³ + kx² − 5x + 21. Find k.
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Question 5
When x³ + kx + 8 is divided by (x − 2), the remainder is 0. Find k.
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Question 6
(x + 1) is a factor of x³ + kx² + 4x + 1. Find k.
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Question 7
When 2x³ + x² + kx + 51 is divided by (x + 3), the remainder is 0. Find k.
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Question 8
(x + 2) is a factor of x³ + kx² + 4x + 36. Find k.
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Question 9
When 2x³ + 3x² + kx + 6 is divided by (x + 3), the remainder is 0. Find k.
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Question 10
(x − 3) is a factor of x³ + kx² + 6x − 99. Find k.
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Question 11
When 2x³ + 6x² + kx − 13 is divided by (x − 1), the remainder is 0. Find k.
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Question 12
(x − 3) is a factor of x³ + kx² − 4x + 30. Find k.
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Question 13
When 2x³ − 6x² + kx + 6 is divided by (x − 1), the remainder is 0. Find k.
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Question 14
(x + 1) is a factor of x³ + kx² + 2x + 3. Find k.
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Question 15
When x³ + 5x² + kx − 38 is divided by (x − 2), the remainder is 0. Find k.
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Question 16
(x − 1) is a factor of x³ + kx² + 1x − 3. Find k.
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