G(x) = (x + 7)(x + 1)(x − 1)

3. Create a graph of the polynomial function you selected from Question 2.

Graph attached below

Step-by-step explanation:

Graph of a Function

Assuming we are given an explicit expression for a real function g that depends on only one variable x. The graphic representation of g can be obtained by giving the independent variable x a set of values for each of which we can compute the corresponding values of g. We'll get a series of ordered pairs of the form (x,g(x)).

Then, we can locate each point in a rectangular grid and join all the points with strokes until a smooth graph is shown. We can safely join them because the domain of g consists of real numbers, not just the specific points we selected.

The function to graph is

We can see the roots of the polynomial are x=-7, x=-1, x=1, thus the range of values for x should cover all of them. We have selected

x={-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3}

And computed the values of g as indicated in the table below. The resulting graph is also shown in the second image attached

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer