Question

Identify all the rational roots of the following equation using synthetic division x^(3)+10x^(2)+17x-28=0

Answer 1

To identify the rational roots of the equation, we can use synthetic division. The rational roots of the equation are x = -1, x = -2, and x = 7.

Step-by-step explanation:

To identify the rational roots of the equation x^3 + 10x^2 + 17x - 28 = 0, we can use synthetic division. First, we list all the possible rational roots by finding the factors of the constant term (-28) divided by the factors of the leading coefficient (1). By synthetic division, we test each potential root by dividing the equation and checking if the remainder is zero. The rational roots of the equation are x = -1, x = -2, and x = 7.