Question

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. x3+2x2-5x-6= 0 O1) (-1) 2) {-3, -1, 2} 3) (-3) 4) [-2, 1,3)

Answer 1

Answer:

The possible solution of the polynomial equation $x^{3} +2x^{2} -5x-6=0$ are the following values (-1,2,-3)

Step-by-step explanation:

We use synthetic division to find the roots which satisfy the equation mentioned before:

1. First we compile the list of all possible rational roots using the Rational Zero'  Theorem

The factors of the constant term 6 are: ±1, ±2, ±3, ±6

The factors of the leading coefficient 1 are ±1

So now we divide all the factors of 6 by all factors of 1 to get the following list {±1, ±2, ±3, ±6)

2. Now we start testing values until we find the roots, the complete solution is attached in pdf format:

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