### Home > CCA2 > Chapter 8 > Lesson 8.1.2 > Problem8-38

8-38.

For each pair of intercepts given below, write an equation for a quadratic function in standard form. Homework Help ✎

1. $(-3, 0)$ and $(2, 0)$

Work backwards: use the zero product property to write an equation in factored form, then simplify.

$x = -3$ or $x = 2$
$x + 3 = 0$ or $x - 2 = 0$
$(x + 3)(x - 2) = 0$
$x^² + x − 6 = y$

1. $(-3, 0)$ and $(\frac { 1 } { 2 }, 0)$

See part (a).

Since we don't usually factor with fractions,

$\left(x - \frac{1}{2}\right)$ is not considered a factor.

Consider what you would have done to get $x=\frac{1}{2}.$

If $x = \frac{1}{2}$ ,The step before that was $2x = 1.$