Question

1 multiple choice 8.3 points

1. what is the solution set for $a^2 + 2a - 24 = 0$

a) {3, 0} b) {-4, 3}
c) {-4, 6} d) {4, -6}
{-4, 3}
{-4, 6}
{4, -6}
{3, 0}
clear my selection
2 multiple choice 8.3 points
which answer represents the function in factored form?

1. $p^2 - 5p - 24 = 0$

a) $(p - 8)(p + 3)$
b) $(p + 8)(p + 6)$
c) $p(p + 8)$
d) $(p - 8)(p - 6)$

Explanation:

For Question 6:

Step1: Factor quadratic equation

Find two numbers that multiply to $-24$ and add to $2$: $6$ and $-4$.
$a^2 + 2a - 24 = (a+6)(a-4) = 0$

Step2: Solve for $a$

Set each factor equal to 0:
$a+6=0 \implies a=-6$
$a-4=0 \implies a=4$

Step1: Factor quadratic expression

Find two numbers that multiply to $-24$ and add to $-5$: $-8$ and $3$.
$p^2 -5p -24 = (p-8)(p+3)$

Answer:

D) $\{4, -6\}$

---

For Question 7: