Quiz Show

Polynomial

Operations

100 A B C D E

Evaluating Polynomia

ls200 A B C D E

Factoring & Solving Polynomia

ls300 A B C D E

App. Problems

& Theorems

400 A B C D E

Polynomial Graphs 500 A B C D E

(11x 5 + 7x 4 – 5x 3) +

(12x 6 + 6x 4 – 8x)

100 A

(3x 2 + 7x – 4) – (10x 2 + 15x + 7)

100 B

Multiply (3 x 2 + 2 x + 5)

by (5 x + 6)

100 C

Divide (2x 4 – 15x 2 – 10x + 5)

by (x – 3) using long division

100 D

Divide (x 3 + 5x 2 – 8x + 28)

by (5 x – 1) using synthetic division

100 E

Evaluate f(x) = 3 x 2 – 5 x + 6

for f(2i)

200 A

Evaluate f(x) = 8 x – 4 x 2

for f(1 - )

200 B

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2

If f(x) = 4x 3 – 5x 2 + 7x - 9,

use synthetic substitution to find f(2)

200 C

If f(x) = 4x 3 – 5x 2 + 7x - 9,

use synthetic substitution to find f(-

3)

200 D

If f(x) = 3x3 – 7x2 + 2x + 3,

use synthetic substitution to find f( )

200 E

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13

Factorx 3 – 1000

300 A

Factorx 4 – 7x 2 – 8

300 B

Factor64 – 125x3

300 C

Solve3x4 + 12x2 – 15 = 0

300 D

Solvex3 – 5x2 + 4x – 20 = 0

300 E

A rectangle has a perimeter of 80 cm. If its

width is x, express its area in terms of x. What is the maximum area of

the rectangle?

400 A

The volume of a box is given by V(x) = x(10 – x)

(10 – 2x). Find the approx. max. volume.

400 B

An open box is to be formed by cutting squares from a square sheet of 10 cm on each side. Find the value of x that maximizes

the volume.

400 C

A polynomial equation with rational coefficients

has the given roots. Find 2 additional roots.

– and 5 +

400 D

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7

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2

A polynomial equation with rational coefficients has the given roots. Find

2 additional roots.– 7i and 3 + 7i

400 E

Sketch an approx. graph of y = x 6

500 A

Determine the max. number of zeros and

vertices of the polynomial

P(x) = 12x 6 + 6x 4 – 8x

500 B

Given the polynomial P(x) = (x – 5) (x + 6) 4,

where is the graph tangent and where

does it cross the x-axis?

500 C

Given the polynomial P(x) = – 5x 2 + 7x – 9,

describe the behavior of the graph on the

right and left

500 D

Sketch the graph of f(x) = (x + 1)(x – 1)(x –

2)

500 E

(11x 5 + 7x 4 – 5x 3) +

(12x 6 + 6x 4 – 8x)

12x 6 + 11x 5 + 13x 4 – 5x 3 – 8x

100 A

(3x 2 + 7x – 4) – (10x 2 + 15x + 7)

- 7x 2 – 8x – 11

100 B

Multiply (3 x 2 + 2 x + 5)

by (5 x + 6)

12x 6 + 11x 5 + 13x 4 – 5x 3 – 8x

100 C

Divide (2x 4 – 15x 2 – 10x + 5)

by (x – 3) using long division

Q: 2x 3 + 6x 2 + 3x – 1R: 2

100 D

Divide (x 3 + 5x 2 – 8x + 28)

by (5 x – 1) using synthetic division

Q: x 2 + 3x – 1R: 0

100 E

Evaluate f(x) = 3 x 2 – 5 x + 6

for f(2i)

- 2 – 10i

200 A

Evaluate f(x) = 8 x – 4 x 2

for f(1 - )

- 4

200 B

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2

If f(x) = 4x 3 – 5x 2 + 7x - 9,

use synthetic substitution to find f(2)

17

200 C

If f(x) = 4x 3 – 5x 2 + 7x - 9,

use synthetic substitution to find f(-

3)- 183

200 D

If f(x) = 3x3 – 7x2 + 2x + 3,

use synthetic substitution to find f( )

3

200 E

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13

Factorx 3 – 1000

(x2-10)(x+10x+100x2)

300 A

Factorx 4 – 7x 2 – 8

(x2-8)(x2+1)

300 B

Factor64 – 125x3

(4 – 5x) (16 + 20x + 25x2)

300 C

Solve3x4 + 12x2 – 15 = 0

x = 1; x = - 1; x =

300 D

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– 5

Solvex3 – 5x2 + 4x – 20 = 0

x = 2; x = - 2; x = 5

300 E

A rectangle has a perimeter of 80 cm. If its

width is x, express its area in terms of x. What is the maximum area of

the rectangle?x(40 – x); 400 cm 2

400 A

The volume of a box is given by V(x) = x(10 – x)

(10 – 2x). Find the approx. max. volume.

x = 1.67; 9.26 ft 3

400 B

An open box is to be formed by cutting squares from a square sheet of 10 cm on each side. Find the value of x that maximizes

the volume.x = 1.7; 74.1 cm 3

400 C

A polynomial equation with rational coefficients

has the given roots. Find 2 additional roots.

– and 5 + and 5 –

400 D

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7

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2

€

7

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2

A polynomial equation with rational coefficients has the given roots. Find

2 additional roots.– 7i and 3 + 7i

7i and 3 – 7i

400 E

Sketch an approx. graph of y = x 6

500 A

Determine the max. number of zeros and

vertices of the polynomial

P(x) = 12x 6 + 6x 4 – 8x6 zeros; 5 vertices

500 B

Given the polynomial P(x) = (x – 5) (x + 6) 4,

where is the graph tangent and where

does it cross the x-axis?Tangent @ - 6;

crosses @ 5

500 C

Given the polynomial P(x) = – 5x 2 + 7x – 9,

describe the behavior of the graph on the

right and leftRises to the left & falls to the right

500 D

Sketch the graph of f(x) = (x + 1)(x – 1)(x –

2)

x = -1; x = 1; x = 2(1.5, -.625); (0, 2); (-2, -12)

500 E