Question
Find the smallest zero for the function h(x)=4x^2-8x-60
Answers
GPT 3.5
To find the zeros of the function h(x)=4x^2-8x-60, we need to set h(x) equal to 0 and solve for x:
4x^2 - 8x - 60 = 0
Now, we can factor out a common factor of 4:
4(x^2 - 2x - 15) = 0
Next, we can factor the quadratic inside the parentheses:
4(x - 5)(x + 3) = 0
Setting each factor equal to 0 gives us two possible zeros:
x - 5 = 0 or x + 3 = 0
x = 5 or x = -3
Therefore, the smallest zero for the function h(x) = 4x^2 - 8x - 60 is -3.
4x^2 - 8x - 60 = 0
Now, we can factor out a common factor of 4:
4(x^2 - 2x - 15) = 0
Next, we can factor the quadratic inside the parentheses:
4(x - 5)(x + 3) = 0
Setting each factor equal to 0 gives us two possible zeros:
x - 5 = 0 or x + 3 = 0
x = 5 or x = -3
Therefore, the smallest zero for the function h(x) = 4x^2 - 8x - 60 is -3.