Respuesta :
The formula of P(x) = -0.7 (x-2)²(x+4)
What is a root of a polynomial ?
A root of a polynomial is defined as the point or value at which the overall value of the polynomial = 0
It is given that
for a polynomial of degree 3
root x=2, multiplicity 2: (x-2)²
root x= - 4, multiplicity 1: (x+4) ³ ²
P(x) = a(x-2)²(x+4)
here a is constant
y-intercept = -11.2
P(0) = -11.2
a(0-2)²(0+4) = -11.2
a * 4 * 4 = -11.2
16a = -11.2
a = -11.2/(16)
a= -11.2/16
P(x) = -(11.2/16)(x-2)²(x+4)
P(x) = -0.7 (x-2)²(x+4)
Therefore the formula of P(x) = -0.7 (x-2)²(x+4)
To know more about Roots of Polynomial
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