Question

Factorise. 2x³ - 5x² - 17x + 30​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:

The given expression is, $2x^3-5x^2-17x+30$

To find:

We need to factorize the given expression.

Solution:

Before solving the question, we should know the meaning of factorize.

Generally, factorize is a process of finding the factors.

Consider the given expression,

$\Rightarrow 2x^3-5x^2-17x+30$

Split the above equation like this, we get

$\Rightarrow 2x^2-2x^2-3x^2-20x+3x+30$

Rearranging the terms, we get

$\Rightarrow 2x^3-2x^2-20x-3x^2+3x+30$

Taking common terms, we get

$\Rightarrow 2x (x^2-x-10)-3(x^2-x-10)$

$\Rightarrow(2x-3)(x^2-x-10)$

The above expression cannot be simplified further because it does not have any common terms. So, it is the final expression.

Therefore, the factored form of the given expression is

$(2x-3)(x^2-x-10)$.