Math, asked by khatrirudra70, 5 months ago

factorize : x^3 - 9x^3-12x + 20

Answers

Answered by lopezshannjayver
1

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).(((x3) + 32x2) - 12x) - 20 = 0 2.1 x3+9x2-12x-20 is not a perfect cube2.1 x3+9x2-12x-20 is not a perfect cube2.2 Factoring: x3+9x2-12x-20

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

Group 1: -12x-20

Group 2: 9x2+x3

Pull out from each group separately :

Group 1: (3x+5) • (-4)

Group 2: (x+9) • (x2)

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 :

2.3 Find roots (zeroes) of : F(x) = x3+9x2-12x-20

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 -20.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,4 ,5 ,10 ,20

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