Multiply and reduce to lowest form and convert into a mixed fraction,
3x6/7
Answers
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x6" was replaced by "x^6".
STEP
1
:
Equation at the end of step 1
3x6 - 7
STEP
2
:
Trying to factor as a Difference of Squares:
2.1 Factoring: 3x6-7
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 3 is not a square !!
Ruling : Binomial can not be factored as the
difference of two perfect squares
Polynomial Roots Calculator :
2.2 Find roots (zeroes) of : F(x) = 3x6-7
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 3 and the Trailing Constant is -7.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,7
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -4.00
-1 3 -0.33 -7.00
-7 1 -7.00 352940.00
-7 3 -2.33 477.15
1 1 1.00 -4.00
1 3 0.33 -7.00
7 1 7.00 352940.00
7 3 2.33 477.15
Polynomial Roots Calculator found no rational roots
Final result :
3x6 - 7
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