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9-40.

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

1. $\left(−3, 0\right) \text{ and } \left(2, 0\right)$

Use the Zero Product Property to write an equation in factored form and then simplify.

$y = (x + 3)(x − 2)\\y = x2 + x − 6$

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

See part (a).