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3 years ago

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

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

If we factorize the expression

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

We will get

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

Hope I helped!

Dmitrij [34]3 years ago

6 0

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.

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Inessa05 [86]

Answer:

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Step-by-step explanation:

Part 1:

See the diagram first.

If the two arrow lines are parallel then, the two triangles are similar.

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Part 2:

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