Using factor theorem, show that: (3 - 2x) is a factor of (2x3 - 9x2 + x + 12)

Question

KnowledgeBoat · Accepted Answer

Let f(x) = (2x3 - 9x2 + x + 12) Given, Divisor: ⇒ 3 - 2x = 0 ⇒ 2x = 3 ⇒ x = By factor theorem, (x - a) is a factor of f(x), if f(a) = 0. Substituting x = in f(x), we get : Since, f = 0, thus (3 - 2x) is a factor of f(x). Hence, proved that (3 - 2x) is factor of 2x3 - 9x2 + x + 12.

Mathematics

Using factor theorem, show that:
(3 - 2x) is a factor of (2x³ - 9x² + x + 12).

Factorisation

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Mathematics

Using factor theorem, show that:(3 - 2x) is a factor of (2x3 - 9x2 + x + 12).

Factorisation

Related Questions

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Use factor theorem to show that (x + 2) and (2x - 3) are factors of (2x2 + x - 6).

Find the value of a so that (x + 6) is a factor of the polynomial (x3 + 5x2 - 4x + a).

Using factor theorem, show that:
(3 - 2x) is a factor of (2x³ - 9x² + x + 12).

Using factor theorem, show that:
(x + 1) is a factor of (x³ + 4x² + 5x + 2).

Using factor theorem, show that:
(3x - 2) is a factor of (3x³ + x² - 20x + 12).

Use factor theorem to show that (x + 2) and (2x - 3) are factors of (2x² + x - 6).

Find the value of a so that (x + 6) is a factor of the polynomial (x³ + 5x² - 4x + a).