Common Core HSA.APR.B.2 worksheet

Question 1

Divide x³ − 6x² + 3x − 2 by (x − 1). Type the quotient (ignore the remainder).

Answer 

Question 2

(x + 1) is a factor of x³ + kx² − 5x + 2. Find k.

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Question 3

(x + 4) is a factor of x³ + 4x² − 25x − 100. Solve x³ + 4x² − 25x − 100 = 0. Give all three solutions, separated by commas.

x = 

Question 4

Divide x³ − x² − 16x − 12 by (x + 3). The remainder is 0. Type the quotient.

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Question 5

When x³ + 5x² + kx − 72 is divided by (x − 3), the remainder is 0. Find k.

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Question 6

Find the remainder when x³ + x² + 7x + 8 is divided by (x + 3).

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Question 7

Divide x³ − 4x² + 16 by (x − 3). Type the quotient (ignore the remainder).

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Question 8

(x − 1) is a factor of x³ + kx² + 6x − 9. Find k.

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Question 9

(x − 1) is a factor of x³ − 6x² + 11x − 6. Solve x³ − 6x² + 11x − 6 = 0. Give all three solutions, separated by commas.

x = 

Question 10

Divide x³ + x² − 10x + 8 by (x − 2). The remainder is 0. Type the quotient.

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Question 11

When 3x³ + x² + kx − 69 is divided by (x − 3), the remainder is 0. Find k.

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Question 12

Find the remainder when x³ + 6x² − 2x + 7 is divided by (x − 3).

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Question 13

Divide x³ − 5x² + 4x + 1 by (x − 1). Type the quotient (ignore the remainder).

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Question 14

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

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Question 15

(x + 2) is a factor of x³ + 5x² + 2x − 8. Solve x³ + 5x² + 2x − 8 = 0. Give all three solutions, separated by commas.

x = 

Question 16

Divide x³ + x² + x − 3 by (x − 1). The remainder is 0. Type the quotient.

Answer