Polynomial equation with integer coefficients that has roots x= -1 and
x = -6 is equal to x² +7x +6=0.
As given in the question,
Given roots for the polynomial equation with integer coefficient are
x = -1 ⇒ x + 1=0
x = -6 ⇒ x + 6 =0
Polynomial equation is
( x + 1) ( x + 6) =0
⇒ x² + 1x + 6x + 6 =0
⇒ x² + 7x + 6 =0
Therefore, polynomial equation with integer coefficients that has roots x= -1 and x = -6 is equal to x² +7x +6=0.
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