divide the polynomial 2x^4+7x^3+4x^2-7x-9
Answers
4.1 Find roots (zeroes) of : F(x) = 2x4-7x3+9x2-7x+2
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 2 and the Trailing Constant is 2.
The factor(s) are:
of the Leading Coefficient : 1,2
of the Trailing Constant : 1 ,2
Let us test ....
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
2x4-7x3+9x2-7x+2
can be divided by 2 different polynomials,including by x-2