(x-3)(x^2 - 5x+4)/(x-1) (x^2-2x-3)
Answers
Answer:
STEP
1
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Equation at the end of step 1
STEP
2
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Equation at the end of step
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STEP
3
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2x3 - 3x2 - 5x + 4
Simplify ——————————————————
x - 2
Checking for a perfect cube :
3.1 2x3 - 3x2 - 5x + 4 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3 - 3x2 - 5x + 4
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -5x + 4
Group 2: 2x3 - 3x2
Pull out from each group separately :
Group 1: (-5x + 4) • (1) = (5x - 4) • (-1)
Group 2: (2x - 3) • (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 :
3.3 Find roots (zeroes) of : F(x) = 2x3 - 3x2 - 5x + 4
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 4.
The factor(s) are:
of the Leading Coefficient : 1,2
of the Trailing Constant : 1 ,2 ,4