Question

Which graph represents the polynomial function f(x)=x^3+x^2−2x

Answer 1

By finding the roots of the polynomial, we conclude that the correct graph is the second one.

Which is the graph of the polynomial?

Here we have the polynomial:

$f(x) = x^3 + x^2 - 2x$

To identify it, we need to find the roots, we can rewrite the equation as:

$f(x) = x*(x^2 + x - 2)$

And we can rewrite the last part by using the Bhaskara's formula:

$x = \frac{-1 \pm \sqrt{1^2 + 4*2} }{2} \\\\x = (-1 \pm 3)/2$

Then the roots are:

x = -2

x = 1

Then we rewrite:

$f(x) = x*(x + 2)*(x - 1)$

So the roots are at x = 0, x = -2, and x = 1.

The graph with these roots is the second graph (top right).

If you want to learn more about polynomials:

https://brainly.com/question/4142886

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