Question

Find the zeros of the function f(x) = x squared + 2X -3

Answer 1

`f(x)=x^2+2x-3`

in order to find the zeros of the function

`0=x^2+2x-3`

write the expression 2x as a difference

`0=x^2+3x-x-3`

factor x

`0=x\cdot(x+3)-x-3`

then rewrite -x-3

`0=x\cdot(x+3)-(x+3)`

factor x+3

`0=(x+3)\cdot(x-1)`

then the zeros of the function are

`\begin{gathered} x+3=0 \\ x=-3 \\ x-1=0 \\ x=1 \\ \text{zeros are (-3,0) \& (1,0)} \end{gathered}`