Pre-Calc2.2-2.5 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 = -1, 0 , 1x = -2, 0,

2

x = -2, -1, 1, 2

Write the equation (leave in factored form) with the following roots, then draw a rough sketch of the graph.

a < 0; x = 2, -1

Answers -(x – 2) (x + 1)

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),

3 5

2i

Answers

4 3 27 8 8 8x x x x

Answers5 4 3 212 40 48 144x x x x x

Write the polynomial equation with the following roots.

x = 2 (double root)

x = 0 (triple root), 2, -3

x =

5

6 3

Answers

. 4 3 2( ) 4 20 20f x x x x x

Answers

.5 4 3( ) 6f x x x x

Answers

.2( ) 12 33f x x x

Perform the operation and write the answer in standard form.

(7 + 5i) + (-4 + 2i)

Answer

3+ 7i

Perform the operation and write the answer in standard form.

(2 - 6i) – (-3 + i)

Answer

5 – 7i

Perform the operation and write the answer in standard form.

(1 – 5i)(3 – 2i)

Answer

-7 – 17i

Perform the operation and write the answer in standard form.

_64

i

i

Answers

2

2

6 4

4 4

24 6 4

16 4 424 6 4 1

16 4 4 123 10

17

i i

i i

i i i

i i ii i

i ii

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

. 4 2( ) 4 5f x x x

Answers

x = ± 5, 1i x

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

. 3 2( ) 4 4 15f x x x x

Answers

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

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

. 3 2( ) 2 13 13 3f x x x x

Answers P/q : ±1, ±3, ±1/2,

±3/2

x =

1 7 61,2 2

x

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

. 4 3 2( ) 6 54 72f x x x x x

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

. 3 2( ) 2 25 12f x x x x

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.

. 3 2( ) 2 5 9 8f x x x x

Answers

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

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

. 5 4 3 2( ) 3 13 39 36 108, ( 3)f x x x x x x x

Answers( 3)( 3)( 2)( 2)( 3)x x x x x