divide x^4-5x^3-8x^2-10x+12 by x^2+0x-2
Answers
Answer:
3.1 Find roots (zeroes) of : F(x) = x4-5x3+8x2-10x+12
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 12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 36.00
-2 1 -2.00 120.00
-3 1 -3.00 330.00
-4 1 -4.00 756.00
-6 1 -6.00 2736.00
-12 1 -12.00 30660.00
1 1 1.00 6.00
2 1 2.00 0.00 x-2
3 1 3.00 0.00 x-3
4 1 4.00 36.00
6 1 6.00 456.00
12 1 12.00 13140.00