solve (x^2+2x )(x^2+2x-11)+24=0
Answers
Step-by-step explanation:
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
x2 - 2x = x • (x - 2)
Equation at the end of step 2 :
((((x2)-(2x))2)-11x•(x-2))+24 = 0
Step 3 :
Polynomial Roots Calculator :
3.1 Find roots (zeroes) of : F(x) = x4-4x3-7x2+22x+24
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 24.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,8 ,12 ,24
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 0.00 x+1
-2 1 -2.00 0.00 x+2
-3 1 -3.00 84.00
-4 1 -4.00 336.00
-6 1 -6.00 1800.00
-8 1 -8.00 5544.00
-12 1 -12.00 26400.00
-24 1 -24.00 382536.00
1 1 1.00 36.00
2 1 2.00 24.00
3 1 3.00 0.00 x-3
4 1 4.00 0.00 x-4
6 1 6.00 336.00
8 1 8.00 1800.00
12 1 12.00 13104.00
24 1 24.00 273000.00