x^6+2x^4+6x-9 divided by x+3
Answers
Answer:
9
= Simplify ——
x3
9
=((((x6)+(2•(x4)))+6x)-——)+3
x3
9
=((((x6) + 2x4) + 6x) - ——) + 3
x3
Subtracting a fraction from a whole
Rewrite the whole as a fraction using x3 as the denominator :
x6 + 2x4 + 6x (x6 + 2x4 + 6x) • x3
x6 + 2x4 + 6x = ————————————— = ————————————————————
1 x3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Find roots (zeroes) of : F(x) = x5 + 2x3 + 6
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 6.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,6
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 3.00
-2 1 -2.00 -42.00
-3 1 -3.00 -291.00
-6 1 -6.00 -8202.00
1 1 1.00 9.00
2 1 2.00 54.00
3 1 3.00 303.00
6 1 6.00 8214.00
