What are the solutions to the equation 3(x – 4)(x + 5) = 0?
2 answers
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
the reason we always set the polynomial to zero is that if the product of factors is zero, then at least one of the factors must be zero. So, we have
3 = 0
x-4 = 0
x+5 = 0
Now you can easily see which values of x will make 3(x-4)(x+5) = 0
The vertex of a parabola is at (w,k) where k is the actual maximum area possible.
3 = 0
x-4 = 0
x+5 = 0
Now you can easily see which values of x will make 3(x-4)(x+5) = 0
The vertex of a parabola is at (w,k) where k is the actual maximum area possible.