Answer:
Step-by-step explanation:
To find the zeros of the function f(x) = 2x^2 - 8x - 24, we need to set the function equal to zero and solve for x.
2x^2 - 8x - 24 = 0
Now, we can factor the quadratic equation or use the quadratic formula to find the values of x.
Factoring:
2(x^2 - 4x - 12) = 0
2(x - 6)(x + 2) = 0
Setting each factor to zero:
x - 6 = 0 or x + 2 = 0
x = 6 or x = -2
Therefore, the smaller zero of the function f(x) = 2x^2 - 8x - 24 is x = -2.
does this help or nah
Answer:
The smaller zero is -2.
Step-by-step explanation:
f(x)=2x^2-8x-24
To find the zeros, set the function equal to zero.
0=2x^2-8x-24
Divide by 2
0=x^2-4x-12
Factor
0 = (x-6) (x+2)
Using the zero product property
x-6 =0 x+2 =0
x=6 x=-2
The two zeros are -2, 6
The smaller zero is -2.