Question

The rational roots theorem - state the possible rational zeros for each function (please show work)

f(x)=3x^2+2x-1

Answer 1

Answer: x=-1 x=1/3

Explanation:

f(x)=3x²+2x-1

`3x^2+2x-1=0\\\\3x^2+(3x-x)-1=0\\\\(3x^2+3x)-x-1=0\\\\3x(x+1)-(x+1)=0\\\\(x+1)(3x-1)=0\\\\x+1=0\\\\x=-1\\\\3x-1=0\\\\3x=1`

Divide both parts of the equation by 3:

`\displaystyle\\x=(1)/(3)`