How do you find the zeros of y=(x+4)(x-5)(x-6)?

Feb 3, 2017

See explanation.

Explanation:

The given formula is a product of 3 expressions, so it is equal to zero if and only if any of those expressions is zero:

$\left(x + 4\right) \left(x - 5\right) \left(x - 6\right) = 0 \iff$

$x + 4 = 0 \vee x - 5 = 0 \vee x - 6 = 0 \iff$

$x = - 4 \vee x = 5 \vee x = 6$

${x}_{1} = - 4$, ${x}_{2} = 5$ and ${x}_{3} = 6$