# If -4 is one of the zeros of function f(x)=-2(x+4)(7x-35) what is the other zero of this function?

Jul 28, 2018

$x = 5$

#### Explanation:

$\text{to find the zeros set } f \left(x\right) = 0$

$- 2 \left(x + 4\right) \left(7 x - 35\right) = 0$

$\text{equate each factor to zero and solve for } x$

$x + 4 = 0 \Rightarrow x = - 4 \leftarrow \textcolor{b l u e}{\text{the given zero}}$

$7 x - 35 = 0 \Rightarrow 7 x = 35 \Rightarrow x = 5 \leftarrow \textcolor{b l u e}{\text{the other zero}}$