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Given the polynomial find any actual rational roots
x^3+x^2+4x+4=0

Sagot :

https://brainly.com/question/7356967 the correct answer is there Part 1A:

Given

Part 1B:

Given

Using rational roots theorem, we can see that the possible roots of the the given equation are:

By substituting the possible roots, we can see that x = 1 is a root, thus x - 1 is a factor.

We can get the other factors by using sythetic division to divide  by x - 1.

Step-by-step explanation:

x^3+x^2+4x+4=0

x³+x²+4x=-4

x(x²+x+4)=-4

either

x=-4

or

x²+x+4=-4

x²+x+4+4=0

x²+x+8=0

comparing with ax² +bx+c

a=1

b=1

c=8

x={-1±√{1²-4×1×8}}/2×1

x={-1±√{-31}}/2

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