Answer:
1. x = 4
2. x = 2
3. x = -1
4. x = -3
Explanation:
1. (x4)-(2•(x3)))-13x2)+14x)+24 = 0
2. ((x4) - 2x3) - 13x2) + 14x) + 24 = 0
3. Find roots (zeroes) of : F(x) = x4-2x3-13x2+14x+24
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 24.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,8 ,12 ,24