96x^4-128x^3+62x^2-13x+1 if 2 zeros are 1/2 and 1/4 find the remaining 2
Answers
Answer:
(2x−1)⋅(3x−1)⋅(4x−1)
2. this is the answer
See steps
Step by Step Solution:
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STEP
1
:
Equation at the end of step 1
((((96•(x4))-(128•(x3)))+(2•31x2))-13x)+1
STEP
2
:
Equation at the end of step
2
:
((((96•(x4))-27x3)+(2•31x2))-13x)+1
STEP
3
:
Equation at the end of step
3
:
((((25•3x4) - 27x3) + (2•31x2)) - 13x) + 1
STEP
4
:
Polynomial Roots Calculator :
4.1 Find roots (zeroes) of : F(x) = 96x4-128x3+62x2-13x+1
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 96 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,2 ,3 ,4 ,6 ,8 ,12 ,16 ,24 ,32 , etc
of the Trailing Constan