12.03.2020

10. Write a polynomial in factored form with a single root at 0 and a double root at 3 that decreases as x approaches infinity.

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24.06.2023, solved by verified expert
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One possible polynomial is given by: 10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots 10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20 such that it can be written as: 10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20, in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20

Decreases as x approaches infinity.

This means that the leading coefficient should be negative. I am going to use -1. So

10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20

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Mathematics
Step-by-step answer
P Answered by PhD

One possible polynomial is given by: f(x) = -x(x-3)^2

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

f(x) = a(x - 0)(x - 3)(x - 3) = ax(x-3)^2

Decreases as x approaches infinity.

This means that the leading coefficient should be negative. I am going to use -1. So

f(x) = -x(x-3)^2

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics
Step-by-step answer
P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

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