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Polynomial Functions. Quiz Show. (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.

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slide18

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

The volume of a box is given by V(x) = x(10 – x)(10 – 2x). Find the approx. max. volume.

400 B

slide20

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

A polynomial equation with rational coefficients has the given roots. Find 2 additional roots.– and 5 +

400 D

slide22

A polynomial equation with rational coefficients has the given roots. Find 2 additional roots.– 7i and 3 + 7i

400 E

determine the max number of zeros and vertices of the polynomial p x 12x 6 6x 4 8x

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

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

Given the polynomial P(x) = – 5x 2 + 7x– 9, describe the behavior of the graph on the right and left

500 D

11x 5 7x 4 5x 3 12x 6 6x 4 8x1

(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 71

(3x 2 + 7x – 4) – (10x 2 + 15x + 7)

- 7x 2 – 8x – 11

100 B

multiply 3 x 2 2 x 5 by 5 x 61

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 division1

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 division1

Divide (x 3 + 5x 2 – 8x + 28) by (5 x – 1) using synthetic division

Q: x 2 + 3x – 1R: 0

100 E

factor x 3 10001

Factorx 3 – 1000

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

300 A

factor x 4 7x 2 81

Factorx 4 – 7x 2 – 8

(x2-8)(x2+1)

300 B

factor 64 125x 31

Factor64 – 125x3

(4 – 5x) (16 + 20x + 25x2)

300 C

solve 3x 4 12x 2 15 01

Solve3x4 + 12x2 – 15= 0

x = 1; x = - 1; x =

300 D

solve x 3 5x 2 4x 20 01

Solvex3 – 5x2 + 4x– 20 = 0

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

300 E

slide43

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 volume1

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

slide45

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 51

A polynomial equation with rational coefficients has the given roots. Find 2 additional roots.– and 5 +

and 5 –

400 D

slide47

A polynomial equation with rational coefficients has the given roots. Find 2 additional roots.– 7i and 3 + 7i

7i and 3 – 7i

400 E

determine the max number of zeros and vertices of the polynomial p x 12x 6 6x 4 8x1

Determine the max. number of zeros and vertices of the polynomial P(x) = 12x 6 + 6x 4 – 8x

6 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 axis1

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 left1

Given the polynomial P(x) = – 5x 2 + 7x– 9, describe the behavior of the graph on the right and left

Rises to the left & falls to the right

500 D

sketch the graph of f x x 1 x 1 x 21

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