Answer:
See attachment
End behavior: The graph rises on left and also rises on the right
Step-by-step explanation:
The given polynomial is [tex]f(x)=x^3+2x^2-5x-6[/tex]
We factorize the cubic polynomial to obtain; [tex]f(x)=(x-2)(x+1)(x+3)[/tex]
To find the x-intercepts,we equate f(x) to zero.
This implies that:
[tex](x-2)(x+1)(x+3)=0[/tex]
[tex]\implies x=-1,2,-3[/tex]\
The x-intercepts are: (-1,0),(2,0),(-3,0)
Since the coefficient of f(x) is positive and the degree is odd, the graph rises on the left and also rises on the right.
Answer
The 3 zeros are (-3,0) (-1,0) and (2,0)
Step-by-step explanation:
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