Use the factor theorem to find an unknown coefficient

Question 1

(x + 1) is a factor of x³ + kx² + 2x − 3. Find k.

Answer 

Question 2

When 2x³ − 4x² + kx − 15 is divided by (x − 3), the remainder is 0. Find k.

Answer 

Question 3

(x − 3) is a factor of x³ + kx² + 6x − 18. Find k.

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Question 4

When 3x³ − 4x² + kx + 102 is divided by (x + 3), the remainder is 0. Find k.

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Question 5

(x − 3) is a factor of x³ + kx² + 0x − 72. Find k.

Answer 

Question 6

When x³ + kx − 6 is divided by (x − 2), the remainder is 0. Find k.

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Question 7

(x + 1) is a factor of x³ + kx² − 6x − 4. Find k.

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Question 8

When 2x³ − 4x² + kx + 18 is divided by (x + 2), the remainder is 0. Find k.

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Question 9

(x + 3) is a factor of x³ + kx² − 6x + 9. Find k.

Answer 

Question 10

When 3x³ − 2x² + kx + 0 is divided by (x + 1), the remainder is 0. Find k.

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Question 11

(x − 2) is a factor of x³ + kx² − 4x + 20. Find k.

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Question 12

When 3x³ + kx + 10 is divided by (x + 1), the remainder is 0. Find k.

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Question 13

(x + 3) is a factor of x³ + kx² + 1x + 48. Find k.

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Question 14

When 3x³ − 2x² + kx − 12 is divided by (x − 2), the remainder is 0. Find k.

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Question 15

(x + 3) is a factor of x³ + kx² + 3x + 0. Find k.

Answer 

Question 16

When 3x³ − 2x² + kx + 48 is divided by (x + 2), the remainder is 0. Find k.

Answer