# How do you find all zeros of the function f(x)=-2x^2-17x+30?

Apr 30, 2018

Zeros of the function $f \left(x\right)$ are $x = - 10 \mathmr{and} x = 1.5$

#### Explanation:

$f \left(x\right) = - 2 {x}^{2} - 17 x + 30 \mathmr{and} f \left(x\right) = - 2 {x}^{2} - 20 x + 3 x + 30$

or $f \left(x\right) = - 2 x \left(x + 10\right) + 3 \left(x + 10\right)$ or

$f \left(x\right) = \left(x + 10\right) \left(- 2 x + 3\right) \therefore f \left(x\right) = 0$ when

$x = - 10 \mathmr{and} x = 1.5$

Hence zeros of the function $f \left(x\right)$ are $x = - 10 \mathmr{and} x = 1.5$ [Ans]