The polynomial of degree 5, P(x)P(x)&nbsp;has leading coefficient 1, has roots of multiplicity 2 at x=5x=5&nbsp;and x=0x=0, and a root of multiplicity 1 at x=−5x=-5Find a possible formula for P(x)P(x).

Each root corresponds to a linear factor, so we can write:P(x)=x2(x-5)2(x+5)=x2(x2−10x+25)(x+5)=x5−5x4−25x3+125x2Any polynomial with these zeros and at least these multiplicities will be a multiple (scalar or polynomial) of this&nbsp;P(x)

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The polynomial P(x) of degree 4 has
a root of multiplicity 2 at x=4
a root of multiplicity 1 at x=0 and at x=-2
It goes through the point (3,-75)
Find a formula for P(x)

find a polynomial f(x) of degree 4 with real coefficients and the following zeros -3(multiplicity of 2), -i

make a polynomial from zeros 5+3i, 5-3i, -1

Name the first five of the arithmetic sequence.

a1=-12, d=-10

first term:

second term:

third term:

fourth term:

fifth term:

for the polynomial below, -2 is zero

h(x)=x^3-6x-4

Belinda is thinking about buying a car for $18,500. The table below shows the projected value of two different cars for three years:

Number of years	1	2	3
Car 1 (value in dollars)	17,390	16,346.60	15,365.80
Car 2 (value in dollars)	17,500	16,500	15,500

Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)

Part C: Belinda wants to purchase a car that would have the greatest value in nine years. Will there be any significant difference in the value of either car after nine years? Explain your answer, and show the value of each car after nine years. (4 points)

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Express x^2+8x+15 in the form (x+a)^2+b

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Part 1

Luis and Raul are riding their bicycles to the beach from their respective homes. Luis proposes that they leave their respective homes at the same time and plan to arrive at the beach at the same time. The diagram shows Luis's position at two points during his ride to the beach. Write an equation in slope-intercept form to represent Luis's ride from his house to the beach. If Raul lives 5 miles closer to the beach than Luis, at what speed must Raul ride for the plan to work?

x	-4	-2	0			6
y	-11			10	13

5+7x=4y

-4x≤-16 or 2x-18≥-4

$i f \frac{4 x^{2} y}{3 z} \times \frac{a}{b} = \frac{4 x}{z^{2}}, w r i t e e x p r e s s i o n s f o r a a n d b . a = ? b = ?$

f(c) =-5-2l-2x+1l

what is the aspect of each part for this algebraic expression $4 x^{2} - 2 = 5 + 7 x$ ?

The polynomial of degree 5, P(x)P(x) has

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