<u>Given</u>:
The point P' is the image of the point P under the translation
The coordinates of the point P are (6,0)
We need to determine the coordinates of the point P'
<u>Coordinates of the point P':</u>
The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.
Thus, substituting the coordinates, we have;
Simplifying the coordinates, we get;
Thus, the coordinates of the point P' is (0,-1)
Multiplicity of a polynomial means how many times a particular number is a zero for a given polynomial.
In the given polynomial :
The roots of the equation can be found by taking the factor =0.
x+2=0 or x=-2
x-4=0
or x=4
x+1=0
or x=-1
The roots of the polynomial are -2,4,-1.
The powers of the root denotes the multiplicity of the polynomial.
The root -2 occurs 2 times ,4 occurs once ,-1 occurs 3 times.
So we say :–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3.
Option A is the right option.
