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The polynomial 73 – 672 – 27% + 140 can be factored as(z. – 4) (z - 7) (z + 5). What are the roots of the polynomial?Enter the roots as integers or decimals. If there is more than onesolution, separate them by commas.

The polynomial 73 672 27 140 can be factored asz 4 z 7 z 5 What are the roots of the polynomialEnter the roots as integers or decimals If there is more than one class=

Respuesta :

Given:

The give polynomial is factored as :

[tex](z-4)(z-7)(z+5)_{}[/tex]

Now, the roots of the polynomial are given as:

put each factor equal to zero and find value of z, that is,

[tex]\begin{gathered} (z-4)=0\Rightarrow z=4 \\ (z-7)=0\Rightarrow z=7 \\ (z+5)=0\Rightarrow z=-5 \end{gathered}[/tex]

Hence, the roots are z= -5,4,7.

This is the required answer.

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