Question

Find the x-intercepts. y = 2x2 + 5x + 2/ x2 - 4x + 3

Answer 1

Answer:

$x=-\frac{1}{2}$ and $x=-2$

Step-by-step explanation:

$f(x)=\frac{2x^2+5x+2}{x^2-4x+3}$

$0=\frac{2x^2+5x+2}{x^2-4x+3}$

$0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}$

$0=(2x+1)(x+2)$

$2x+1=0$ and $x+2=0$

$x=-\frac{1}{2}$ and $x=-2$