Question

determine whether the statement is true or false. if (7x + 4) is a factor of some polynomial function f(x), then $\frac{4}{7}$ is a zero of that function. a true b false clear selection

Explanation:

Step1: Recall factor - zero relationship

If $(ax + b)$ is a factor of a polynomial $f(x)$, then $x=-\frac{b}{a}$ is a zero of $f(x)$.

Step2: Identify $a$ and $b$ values

For the factor $(7x + 4)$, $a = 7$ and $b = 4$.

Step3: Calculate the zero

The zero is $x=-\frac{4}{7}$, not $\frac{4}{7}$.

Answer:

B. False