Answer:
Solution values make the factors be zero. Those values are easy to find.
Explanation:
A quadratic in standard form is ...
ax² +bx +c = 0
When that is factored to ...
a(x -p)(x -q) = 0
The values of p and q are solutions to the equation. The solutions are readily identified from the factored form.
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The zero product rule tells you a product will be zero only if a factor is zero. Hence the factored form will be true only for values of x equal to p or q. If the original and the factored form are equivalent, then p and q are the solutions to the original quadratic equation.