We can simply multiply the roots together to find the original function.
(x + 2)(x - 4)(x - 4)(x - 3)
FOIL.
x^2 - 4x + 2x - 8(x - 4)(x - 3)
Combine like terms.
x^2 - 2x - 8(x - 4)(x - 3)
FOIL.
x^3 - 2x^2 - 8x - 4x^2 + 8x + 32(x - 3)
Combine like terms.
x^3 - 6x^2 + 32(x - 3)
FOIL.
x^4 - 6x^3 + 32x - 3x^3 + 18x^2 - 96
Combine like terms.
<h3>x^4 - 9x^3 + 18x^2 + 32x - 96 is the original function with the given roots.</h3>
When you do the multiplication you can notice that 10, 20, 30, 40 all have 0's at the end.
So that means 10 *20*30*40 = 1*2*3*4*10000 = 24*10000 = 240,000
Answer:
See attachment
Step-by-step explanation:
We want to graph the line with slope

and y-intercept ,

The equation of this line is

Starting at -7 on the y-axis, we run 5 units and rise 2 units right.
Then draw a line through the y intercept and the new point
The graph is shown in the attachment.