[PDF] The-Remainder-and-Factor-Theorempdf - BMCC OpenLab




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[PDF] The-Remainder-and-Factor-Theorempdf - BMCC OpenLab 101361_6The_Remainder_and_Factor_Theorem.pdf

The Remainder and Factor Theorem

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Use the remainder theorem and synthetic division to find f(k).

1)k = 2; f(x) = x

2 - 2x + 5

A)-5B)-3C)-13D)5

1)

2)k = -3; f(x) = x

2 + 2x + 2

A)1B)-13C)5D)-17

2)

3)k = -2; f(x) = 3x

3 - 7x 2 - 3x + 3

A)14B)-55C)-43D)-5

3)

4)k = 4; f(x) = x

3 - 2x 2 + 5x - 2

A)54B)50C)-78D)-76

4)

5)k = 2; f(x) = 9x

4 + 10x 3 + 6x 2 - 6x + 16

A)360B)500C)252D)36

5)

6)k = 5; f(x) = x

3 - 3x 2 - 4x - 5

A)35B)25C)-225D)-220

6)

Solve the problem.

7)Use synthetic division to divide f(x) = x

3 + 12x 2 + 41x + 30 by x + 5. Use the result to find all zeros of f. A){-5 , 6, 1}B){5, -6, -1}C){-5, -6, -1}D){5, 6, 1} 7)

8)Use synthetic division to divide f(x) = x

3 + 1x 2 - 26x + 24 by x + 6. Use the result to find all zeros of f. A){-6 , -4, -1}B){6, 4, 1}C){-6, 4, 1}D){6, -4, -1} 8)

9)Use synthetic division to divide f(x) = x

3 - 1x 2 - 26x - 24 by x + 1. Use the result to find all zeros of f. A){1, -6, 4}B){1, 6, -4}C){-1 , -6, 4}D){-1, 6, -4} 9)

Use synthetic division to show that the number given to the right of the equation is a solution of the equation, then

solve the polynomial equation. 10)x 3 - 5x 2 + 2x + 8 = 0; 2

A){4, 1, 2}B){-4, 1, 2}C){4, -1, 2}D){-4, -1, 2}

10) 11)2x 3 + 10x 2 - 4x - 48 = 0; -3

A)2, -4, -3B)- 2, 4, -3C)- 2, -4, -3D)2, 4, -3

11) 1

Answer Key

Testname: THE REMAINDER AND FACTOR THEOREM

1)D 2)C 3)C 4)B 5)C 6)B 7)C 8)C 9)D 10)C 11)A 2
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