Question

What is the factored form of the expression?Factor completely. 6x^4-9x^3-36x^2+54x

Answer 1

If we factorize the expression

$6x^4-9x^3-36x^2+54x$

We will get

$3x(2x-3)(x^2-6)$


Hope I helped!

Answer 2

Each term of expression
6x⁴ - 9x³ - 36x² + 54x
can be divided by 3x. Therefore the expression can be simplified to:
3x(2x³ - 3x² - 12x + 18)
Expression 2x³ - 3x² - 12x + 18 can be represented as (x - 2.45)(x + 2.45)(x - 1.5)

Finally, expression 6x⁴ - 9x³ - 36x² + 54x is factored as 3x(x - 2.45)(x + 2.45)(x - 1.5)

Good luck.