SOLUTION: What are the roots of the polynomial ? 3x^4 + 6x^3 -2x^2 +9x -36 = 0

Question 465239: What are the roots of the polynomial ?
3x^4 + 6x^3 -2x^2 +9x -36 = 0
Answer by Ryan O(12) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -1. Here's your graph:

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 8/4 = 2.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/2 = 4.
Slope is -4/2 = -2.
Equation in slope-intercept form: y=-2*x+4.

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