Algebra 2/Trig Higher Order Polynomials Test Review

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Presentation transcript:

Algebra 2/Trig Higher Order Polynomials Test Review

Match the polynomial function with its graph.

Answers

Match the roots with the graphs. x = -1, 0 , 1 x = -2, 0, 2 x = -2, -1, 1, 2

Answers x = -2, 0, 2 x = -2, -1, 1, 2 x = -1, 0 , 1

Write the equation with the following roots, then draw a rough sketch of the graph. a < 0; x = 2, -1

Answers -(x – 2) (x + 1) -(x2 +1x -2x -2) -(x2 -1x -2) -x2 +1x +2

Write the equation with the following roots, then draw a rough sketch of the graph. a < 0; x = 2, -1, a > 0; x = 0, 6 (double root),

Answers

Answers

Write the polynomial equation with the following roots. x = 2 (double root) x = 0 (triple root), 2, -3 x =

Answers .

Answers .

Answers .

Find the roots/zeros of the following polynomials by using any algebraic method.

Answers x = ±

Find the roots/zeros of the following polynomials by using any algebraic method.

Answers x = 0, x = -3/2, x = 5/2

List all the possible rational roots List all the possible rational roots. Then find the roots/zeros of the following polynomials by using any algebraic method. .

Answers P/q : ±1, ±3, ±1/2, ±3/2 x =

List all the possible rational roots List all the possible rational roots. Then find the roots/zeros of the following polynomials by using any algebraic method. .

Answers p/q = ±1, ±2, ±3, ±4, ±6, ±8, ±9, ±12, ±18, ±24, ±36, ±72 x = -2, x = -4, x = -3, x = 3

List all the possible rational roots List all the possible rational roots. Then find the roots/zeros of the following polynomials by using any algebraic method. .

Answers p/q = ±1, ±2, ±3, ±4, ±6, ±12, ±1/2, ±3/2 x = 3, x = ½, x = -4

Find the roots/zeros of the following polynomials by using a graphing calculator.

Answers x = -1.661, x = .695, x = 3.465

Given one for the factors, find all the factors of f.

Answers

Fill in the following information given the graph below. Zeros: Relative Maximums: Relative Minimums: Increasing: Decreasing:

Fill in the following information given the graph below. ANSWERS MAY VARY Zeros: (-2.2, 0) Rel Max: (1,-2) Rel Min: (-1, -6) Inc: (-1,1) Dec: (-∞,-1)U(1,∞)

Determine the following information using a graphing calculator. Zeros: Relative Maximums: Relative Minimums: Increasing: Decreasing:

Determine the following information using a graphing calculator. Zeros: (.860, 0) and (3.968,0) Relative Maximums: none Relative Minimums: (3,-25) Increasing: (3, ∞) Decreasing: (- ∞ , 3)

Determine the following information using a graphing calculator. Zeros: Relative Maximums: Relative Minimums: Increasing: Decreasing:

Determine the following information using a graphing calculator. Zeros: (-2.321,0), (-1,0), (2.423,0) Rel Max: (-.339,3.449), (1.867,15.629) Rel Min: (-1.867,-9.629), (.339,2.551) Inc: (-1.867,-.339)U(.339,1.867) Dec: (-∞,-1.867)U(-.339,.339)U(1.867,∞)