What counts as a polynomial (integral rational) equation
If, after moving all terms to one side, you obtain a polynomial equation P(x)=0, it is called a polynomial (integral rational) equation.
In grade 9 two typical cases matter:
1) biquadratic ax4+bx2+c=0 (substitution t=x2),
2) equations solved by factoring and the rule uv=0⇒u=0 or v=0.
Always check: after t=x2, values of t must be nonnegative before you return to x
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