# How do you find the zeros by rewriting the function y=4x^2+60x in intercept form?

Sep 2, 2017

$x = 0 , x = - 15$

#### Explanation:

$\text{factorise the quadratic}$

$y = 4 x \left(x + 15\right) \leftarrow \textcolor{red}{\text{ in intercept form}}$

$\text{to find zeros let } y = 0$

$\Rightarrow 4 x \left(x + 15\right) = 0$

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

$4 x = 0 \Rightarrow x = 0$

$x + 15 = 0 \Rightarrow x = - 15$

$\Rightarrow x = 0 , x = - 15 \text{ are the zeros}$