solve: f(x)= 5x^3- 8x^2+2
Answers
Answer:
STEP
1
:
Equation at the end of step 1
(((5 • (x3)) - 23x2) - 5x) + 2
STEP
2
:
Equation at the end of step
2
:
((5x3 - 23x2) - 5x) + 2
STEP
3
:
Checking for a perfect cube
3.1 5x3-8x2-5x+2 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 5x3-8x2-5x+2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -5x+2
Group 2: 5x3-8x2
Pull out from each group separately :
Group 1: (-5x+2) • (1) = (5x-2) • (-1)
Group 2: (5x-8) • (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) = 5x3-8x2-5x+2
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 5 and the Trailing Constant is 2.
The factor(s) are:
of the Leading Coefficient : 1,5
of the Trailing Constant : 1 ,2