Answer:
x3 – 7x2 + 3------ x3 - 7x2 + 3
3x3 + x2-----------x2 • (3x + 1)
x2 + 4x - 3------------ x2 + 4x - 3
Explanation:
Step 1 :
Equation at the end of step 1 :
((x3) - 7x2) + 3
Step 2 :
Polynomial Roots Calculator :
2.1 Find roots (zeroes) of : F(x) = x3-7x2+3
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 3.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -5.00
-3 1 -3.00 -87.00
1 1 1.00 -3.00
3 1 3.00 -33.00
Hope this helps.