Question

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

Answer 1

Zeros of the function `f(x)` are `x=-10 and x= 1.5`

Explanation:

`f(x)=-2 x^2-17 x+30 or f(x)= -2 x^2-20 x +3 x+30`

or `f(x)=-2 x(x+10)+3 (x+10)` or

`f(x)=(x+10)(-2 x+3 ) :. f(x)=0` when

`x=-10 or x=1.5`

Hence zeros of the function `f(x)` are `x=-10 and x= 1.5` [Ans]