Question

How to solve? 3x^3 - 45x = 0

Answer 1

STEP
1
:
Equation at the end of step 1

((3 • (x3)) - (32•5x2)) + 150 = 0
STEP
2
:

Equation at the end of step
2
:

(3x3 - (32•5x2)) + 150 = 0
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

3x3 - 45x2 + 150 = 3 • (x3 - 15x2 + 50)

Polynomial Roots Calculator :

4.2 Find roots (zeroes) of : F(x) = x3 - 15x2 + 50
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 50.

The factor(s) are: