How to solve & graph this polynomial function?

Question

g(x) = (x-3) (x^2+x+1)

Thank you!!

Douglas · Accepted Answer

If by "solve" you mean find the x values that make g(x) = 0, you have already done it. There is only one real value x = 3. Notice that x = 3 makes the factor (x - 3) become zero, thereby making g(x) = 0.

The quadratic x² + x + 1 has no real roots; it has two complex roots that are conjugates of each other. 

To graph this function let y = g(x) = (x - 3)(x² + x + 1) 

let x = -2, find what y must equal, and plot the (x,y) point.

Repeat the above for x = -1, 0, 1, 2, 3, 4 and 5

Connect the points with a smooth line and make the lines continue off the page toward negative infinity on the left side and positive infinity on the right side.

How to solve & graph this polynomial function?

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