Verify whether the following is True or False:
$-\frac{4}{5}$ is a zero of $4-5y$.
$-\frac{4}{5}$ is a zero of $4-5y$.
(FALSE) zero of a polynomial $p(y)$ is a value $c$ such that $p(c) = 0$.
Let $p(y) = 4 - 5y$.
Substitute $y = -\frac{4}{5}$ into the polynomial:
$p\left(-\frac{4}{5}\right) = 4 - 5\left(-\frac{4}{5}\right)$
$p\left(-\frac{4}{5}\right) = 4 + 4 = 8$.
Since $p\left(-\frac{4}{5}\right) \neq 0$,the statement is False.
Therefore,$-\frac{4}{5}$ is not a zero of $4 - 5y$.
Let $p(y) = 4 - 5y$.
Substitute $y = -\frac{4}{5}$ into the polynomial:
$p\left(-\frac{4}{5}\right) = 4 - 5\left(-\frac{4}{5}\right)$
$p\left(-\frac{4}{5}\right) = 4 + 4 = 8$.
Since $p\left(-\frac{4}{5}\right) \neq 0$,the statement is False.
Therefore,$-\frac{4}{5}$ is not a zero of $4 - 5y$.
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