question 1.

- For function f

-the graph of y=f(x) extends down into quadrant lll and down into quadrant IV

-the zeros of f are -2,3 and 5 

-the degree of f<5

1.what degrees is possible for f?

2.what are the maximum and minimum multiplicities possible for a zero of f?

3.two possible equations?

4.two possible graphs of y=f(x)

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question 2.

a.show that p(x)/x-a=Q(x)+R/x-a can be rearranged to p(x)=Q(x)(x-a)+R

b.evaluate p(a),showing it simplifies to R.

c.how does the answer in part b. relate to the remainder theorem?

d.using p(x)=Q(x)(x-a)+a to explain the factor theorem.(hint:what is the value of R if there is no remainder? substituted this value for R into Q(x)(x-a)+R to show x-ais a factor of p(x).

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quastion 3

a cube with side length x has been modified by adjusting its side length x has been modified by adjusting its length, width and height. A student determined a function of the form v(x)=(x+a)(x+b)(x+c) can be used to represent the volume of the new box for different values of x, and then she graphed the function.

a.based on the graph ,predict how the side lengths of the original cube changed.(hint:what do the zeros of the function represent?

b.determine a polynomial function of the form v(x)=(x+a)(x+b)(x+c) that's matches the function in the graph .

c.which parts of the graph are realistic?(hint:all sides must be positive.using two negative side lengths to give positive volume is not realistic.)

can somebody help me I'm really confused with this question

question 2.

a.show that p(x)/x-a=Q(x)+R/x-a can be rearranged to p(x)=Q(x)(x-a)+R

b.evaluate p(a),showing it simplifies to R.

c.how does the answer in part b. relate to the remainder theorem?

d.using p(x)=Q(x)(x-a)+a to explain the factor theorem.(hint:what is the value of R if there is no remainder? substituted this value for R into Q(x)(x-a)+R to show x-ais a factor of p(x).

can someone help me with this question is super confusing.

cube with side length x has been modified by adjusting its side length x has been modified by adjusting its length, width and height. A student determined a function of the form v(x)=(x+a)(x+b)(x+c) can be used to represent the volume of the new box for different values of x, and then she graphed the function.

a.based on the graph ,predict how the side lengths of the original cube changed.(hint:what do the zeros of the function represent?

b.determine a polynomial function of the form v(x)=(x+a)(x+b)(x+c) that's matches the function in the graph .

c.which parts of the graph are realistic?(hint:all sides must be positive.using two negative side lengths to give positive volume is not realistic.)

i need help with these two question... please , its really confusing.

1.identity tan^2x(cos^2x+1)+cos^2x=sec^2x

A.state any non permissible values

B.the possible identity numerically.

C.possible identity graphically 

d. prove the identity 

2. the possible identity cos 2x = 2 sinxcosx

A.state any non-permissible values

B.possible identity numerically

C.possible identity graphically

d prove identity 

question 1 helppp please ive speed 1 hour trying to figure this out.. thanks

a.solve 6cosθ sin θ - 2 cos θ = 0,0< θ < 2π

b. give the general solution to 6cosθ sin θ - 2 cos θ = 0.

can somebody help me i dont understand this question .... please

1. the possible identity cos 2x = 2 sinxcosx

A.state any non-permissible values

B.possible identity numerically

C.possible identity graphically

d prove identity 

is the largest in the world, with a height of 550 ft and a 520 ft diameter. Riders enter a cabin at the bottom of the wheel and are taken on a rotation that lasts 30 min. Write a sine function that models the height of a cabin for the duration of the ride.

The graph of a sinusoid always function passes through (0,1) has a maximum point at (Pi/2,3) and a subsequent point at (7pi/6,3)

determine the amplitude, Midline and range of the function

find the sine and cousin function with these characters 

I really need help with this question . Can someone please help me with this? 

1.the graph of a sinusoidal function passes through (0,1), has a maximum point at (pi/2 , 3), and subSequent maximum point at (7pi/6 , 3).

A.determine the amplitude ,period ,midline and range of the function [hint: determine the period, and show the point (0,1) is 3/4 of the period to the left of the point (pi/2 , 3). Why does this guarantee (0,1) is on the midline?]

Hello, can someone really quick help me with this question. Pleaseeee i dont understand. 

The pH of a solution is given by pH = -log(H+), where (H+) is the hydrogen ion concentration in moles per liter. The average pH of blood is 7.4 in a human. Humans will die if the pH of their blood goes below 7.0 or above 7.8. What is the difference in hydrogen ion concentration between the allowable pHs?  Solve algebraically