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The zeros and roots of polynomial expressions are the same. They are found by making the equation zero. For example for a polynomial:
[tex]P(x)=a_nx^n+\cdots+a_2x^2+a_1x+a_0[/tex]To find the roots (or zeros) we have to equal the polynomial to zero:
[tex]\begin{gathered} P(x)=0 \\ a_nx^n+\cdots+a_2x^2+a_1x+a_0=0 \end{gathered}[/tex]And the solutions - in other words the values of x that make the polynomial zero - are the roots (or zeros).