Polynomials

Question 1

Determine the quotient of (x^2-3x-10)/(x+2).

Answer 1

x-5

Question 2

Determine whether x^2 + 2 is a factor of the polynomial x^3 - 5x + 2x - 10 by using long division.

Answer 2

Yes, it is a factor

Question 3

Determine the quotient of (x^2-3x-10/x+2) by using the synthetic division.

Answer 3

x-5

Question 4

Use synthetic division to divide 3x^3 - 10x^2 - 9x + 15 by x - 4.

Answer 4

3x^2 + 2x - 1 + 11/x-4

Question 5

Use synthetic division to find the quotient of (x^5 - 3x^3 - 4x - 1)/(x - 1)

Answer 5

x^4 + x^3 - 2x^2 - 2x - 6 - 7/x-1

Question 6

Find the remainder of (3x^3 - 10x^2 - 9x + 15)/(x - 4)by using the remainder theorem.

Answer 6

11

Question 7

Find the remainder when P(x) = x^4 - 3x^2 - 2x + 5 is divided by x + 2.

Answer 7

13

Question 8

Determine if x - 2 is a factor of x^3 + 6x^2 - x - 30.

Answer 8

Yes, x - 2 is a factor of x^3 + 6x^2 - x - 30

Question 9

Solve for the rational roots and factors of x^3 - 6x^2 + 3x + 10.

Answer 9

See PPT :)

Question 10

Use long division to find the quotient of (2x^3 - 5x^2 - 8x + 15)/(x-3).

Answer 10

2x^2 + x - 5

Question 11

Use synthetic division to find the quotient of (2x^3 - 5x^2 - x + 3)/(x + 3).

Answer 11

2x^2 - 11x + 32 + -93/x + 3

Question 12

Solve for the quotient of (x^3 - 13x + 12)/(x+4).

Answer 12

x^2 - 4x + 3

Question 13

DETERMINE IF YOU ARE ALLOWED TO USE SYNTHETIC DIVISION OR NOT
(7x^2+7x+7)/(x^2-4)

Answer 13

not allowed

Question 14

DETERMINE IF YOU ARE ALLOWED TO USE SYNTHETIC DIVISION OR NOT
(3x^10-13x^2-x)/(x+1)

Answer 14

allowed

Question 15

DETERMINE IF YOU ARE ALLOWED TO USE SYNTHETIC DIVISION OR NOT
(2x^3-5x^2-8x+15)/(x-3)

Answer 15

allowed

Question 16

DETERMINE IF YOU ARE ALLOWED TO USE SYNTHETIC DIVISION OR NOT
(6x^2+7x-20)/(2x+5)

Answer 16

allowed

Question 17

DETERMINE IF YOU ARE ALLOWED TO USE SYNTHETIC DIVISION OR NOT
(6x^2+7x-20)/(2x^2+5)

Answer 17

not allowed