Using factor theorem, factorize the following: 2x^3 + 3x^2 − 9x − 10

Question

KnowledgeBoat · Accepted Answer

Let, f(x) = 2x3 + 3x2 − 9x − 10. Substituting, x = 2 in f(x), we get : f(2) = 2(2)3 + 3(2)2 − 9(2) − 10 = 16 + 12 − 18 − 10 = 0. Since, f(2) = 0, (x − 2) is a factor of f(x). Dividing f(x) by (x − 2), we get : ∴ 2x3 + 3x2 − 9x − 10 = (x − 2)(2x2 + 7x + 5) = (x − 2)(2x2 + 5x + 2x + 5) = (x − 2)[x(2x + 5) + 1(2x + 5)] = (x − 2)(2x + 5)(x + 1) Hence, 2x3 + 3x2 − 9x − 10 = (x − 2)(2x + 5)(x + 1).

Mathematics

Using factor theorem, factorize the following:
2x³ + 3x² − 9x − 10

Factorisation

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Mathematics

Using factor theorem, factorize the following:2x3 + 3x2 − 9x − 10

Factorisation

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