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Factoriser 2x^3+3x^2-11x-50

User Betaman
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The given expression 2x^3 + 3x^2 - 11x - 50 can be factored as (2x + 3)(x + 1)(x - 1) using the factor by grouping method.

To factorize the expression 2x^3 + 3x^2 - 11x - 50, we can use synthetic division or factor by grouping. Let's use factor by grouping.

Group the terms in pairs:

(2x^3 + 3x^2) + (-11x - 50)

Now, factor out the common factor from each pair:

x^2(2x + 3) - 1(2x + 3)

Notice that both terms have a common factor of (2x + 3). Factor this out:

(2x + 3)(x^2 - 1)

Now, factor x^2 - 1 further:

(2x + 3)(x + 1)(x - 1)

So, the factorization of 2x^3 + 3x^2 - 11x - 50 is (2x + 3)(x + 1)(x - 1).

User Gowsik
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