Question

If the product of two roots of the equation 4x4 - 24x
+31x2 + 6x - 8 = 0 is 1, then the possibility of sum of
two zeroes is​

Answer 1

Step-by-step explanation:

4x4-24x3+31x2-6x-8=0

One solution was found :

x ≓ -0.376139224

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((((4•(x4))-(24•(x3)))+31x2)-6x)-8 = 0

Step 2 :

Equation at the end of step 2 :

((((4•(x4))-(23•3x3))+31x2)-6x)-8 = 0

Step 3 :

Equation at the end of step 3 :

(((22x4 - (23•3x3)) + 31x2) - 6x) - 8 = 0

Step 4 :

Polynomial Roots Calculator :

4.1 Find roots (zeroes) of : F(x) = 4x4-24x3+31x2-6x-8

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 4 and the Trailing Constant is -8.

The factor(s) are:

of the Leading Coefficient : 1,2 ,4

of the Trailing Constant : 1 ,2 ,4 ,8 this correct means plz follow me guys