Consider the function f(x)= x^3+2x^2-3..
Graph the function.
What are the x- and y-intercepts of the graph?
Please and Thank you! 0^>
Let's do some Algebra, first
Letting x = 0......the y intercept is at - 3
1x^3 + 2x^2 - 3
Note that, if we add the ntegers in red and get 0, then 1 is a root (an x intercept)
So ( x - 1) is a factor
To find if we have any other real roots....perform some polynomial division
x^2 + 3x + 3
x - 1 [ x^3 + 2x^2 + 0x - 3 ]
x^3 - 1x^2
3x^2 + 0x
3x^2 - 3x
3x - 3
3x - 3
The remaining polynomial is x^2 + 3x + 3
The discriminant is 3^2 - 4 (1) (3) = -3
Since this is < 0......we have no more real roots
The y intercept is - 3
And the x intercept is 1
Here's the graph : https://www.desmos.com/calculator/kfgpcs3g09