Answer:
x 3 ⋅(7x 2+8)
Explanation:
(8 • (x3)) + 7x5
23x3 + 7x5
Pull out like factors :
7x5 + 8x3 = x3 • (7x2 + 8)
Find roots (zeroes) of : F(x) = 7x2 + 8
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 7 and the Trailing Constant is 8.
The factor(s) are:
of the Leading Coefficient : 1,7
of the Trailing Constant : 1 ,2 ,4 ,8
P Q P/Q F(P/Q) Diviso
-1 1 -1.00 15.00
-1 7 -0.14 8.14
-2 1 -2.00 36.00
-2 7 -0.29 8.57
-4 1 -4.00 120.00
-4 7 -0.57 10.29
-8 1 -8.00 456.00
-8 7 -1.14 17.14
1 1 1.00 15.00
1 7 0.14 8.14
2 1 2.00 36.00
2 7 0.29 8.57
4 1 4.00 120.00
4 7 0.57 10.29
8 1 8.00 456.00
8 7 1.14 17.14
Polynomial Roots Calculator found no rational roots