Question

2x - 6 - 8x = x - 6 + 4​

Answer 1

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3.2 Factoring: 2x6-8x4+x3-13

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: x3-13

Group 2: 2x6-8x4

Pull out from each group separately :

Group 1: (x3-13) • (1)

Group 2: (x2-4) • (2x4)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(x) = 2x6-8x4+x3-13

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 2 and the Trailing Constant is -13.

The factor(s) are:

of the Leading Coefficient : 1,2

of the Trailing Constant : 1 ,13