Algebra 2 Unit 6 Lesson 6

2) Choose the best answer. The denominators of any rational roots of a polynomial will be factors of the ____.

Leading Coefficient

3) Choose the best answer. The value of a polynomial at x=1 is the remainder when the polynomial is divided by ____.

x-1

4) Which of these are NOT potential rational roots of 8x'3+15x'2-7x-5

±8

9) Solve the system of linear equations. {3x-2y=5 {x+5y=-4

(1,-1)

6) List all of the potential rational roots of x'5-7x'4-5x'3+18x'2-1

1 -1

5) List all of the potential rational roots of 2x'5-7x'4-5x'3+18x'2-1

1/2 -1 -1/2

7) Evaluate the polynomial 8x'3+15x'2-7x-5 at x=1 using synthetic division.

11

8) Evaluate the polynomial 2x'5-7x'4-5x'3+18x'2-1 at x=-1

13

1) Choose the best answer. The numerators of any rational roots of a polynomial will be factors of the ___.

Constant Term

10) An ellipse has the equation ⁽ˣ⁻²⁾²/₃² + ⁽ʸ⁺⁵⁾²/₅² =1 If the ellipse is shifted two spaces to the left and five spaces up, what is the new equation?

ˣ²/₃² + ʸ²/₅² =1

11) Find the vertex of the parabola. y=3x'2-6x+7

(1,4)