Question

question 24 of 40
what are the zeros of the function $f(x) = (2x + 6)(x - 4)$?

a. $x = -6$ and $x = -4$

b. $x = 3$ and $x = -4$

c. $x = 6$ and $x = -4$

d. $x = -3$ and $x = 4$

Explanation:

Step1: Set function to zero

$f(x) = 0 \implies (2x + 6)(x - 4) = 0$

Step2: Solve first factor

$2x + 6 = 0 \implies 2x = -6 \implies x = -3$

Step3: Solve second factor

$x - 4 = 0 \implies x = 4$

Answer:

D. x = -3 and x = 4