Answer:
STEP
1
:
Equation at the end of step 1
((((x4)-(9•(x3)))+32x2)+41x)-42
STEP
2
:
Equation at the end of step
2
:
((((x4) - 32x3) + 32x2) + 41x) - 42
STEP
3
:
Polynomial Roots Calculator :
3.1 Find roots (zeroes) of : F(x) = x4-9x3+9x2+41x-42
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 -42.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,6 ,7 ,14 ,21 ,42
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