Respuesta :
the answer is x3 + x2 - 7x - 6
step by step explanation
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Checking for a perfect cube :
1.1 x3+x2-7x-6 is not a perfect cube
Trying to factor by pulling out :
1.2 Factoring: x3+x2-7x-6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x-6
Group 2: x3+x2
Pull out from each group separately :
Group 1: (7x+6) • (-1)
Group 2: (x+1) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
1.3 Find roots (zeroes) of : F(x) = x3+x2-7x-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 1.00
-2 1 -2.00 4.00
-3 1 -3.00 -3.00
-6 1 -6.00 -144.00
1 1 1.00 -11.00
2 1 2.00 -8.00
3 1 3.00 9.00
6 1 6.00 204.00
Polynomial Roots Calculator found no rational roots
Final result :
x3 + x2 - 7x - 6
brainliest plzz
