Mathematics: What is the multiple zero and multiplicity of f(x) = x3 + 10x2 + 25x?

What is the multiple zero and multiplicity of f(x)

sparrgrovekyle

11.01.2022

The multiple zero is x=-5 .

The multiplicity is 2

Step-by-step explanation:

The given function is

f(x)=x^3+10x^2+25x

To find the zero of this function, we equate it to zero.

$\Rightarrow x^3+10x^2+25x=0$

We factor to obtain;

x(x^2+10x+25)=0

Observe that; the expression within the parenthesis is a perfect square.

This implies that;

x(x+5)^2=0

This implies that;

Either x=0 or (x+5)^2=0

(x+5)^2=0 has a multiple zero which is

x=-5 and its multplicity is 2.

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MIa2020

20.07.2021

The distance between them is 20 meters.

Step-by-step explanation:

Let origin be the starting point.

Consider first man,

He travels first 8 m and then left 6 m( consider he moves along positive x axis)

Displacement = 8i + 6 j

Consider second man,

He travels first 8 m and then left 6 m( consider he moves along negative x axis)

Displacement = -8i - 6 j

Displacement between them = 8i + 6 j - ( -8i - 6 j) = 16 i + 12 j

$\texttt{Magnitude = }\sqrt{16^2+12^2}=20m$

The distance between them is 20 meters.

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