Show that (x - 2) is a factor 3x 2 - x - 10. Hence, factorize 3x 2 - x - 10.

By factor theorem, (x - a) is a factor of f(x), if f(a) = 0. f(x) = 3x 2 - x - 10 (x - 2) is a factor of f(x), if f(2) = 0 f(2) = 3(2) 2 - 2 - 10 = 12 - 12 = 0 Hence, x - 2 is a factor of 3x 2 - x - 10. Now, factorizing , Hence, 3x 2 - x - 10 = (x - 2)(3x + 5).

By factor theorem, show that (x + 3) and (2x - 1) are the factors of 2x² + 5x - 3.

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Without actual division, prove that x⁴ + 2x³ - 2x² + 2x - 3 is exactly divisible by x² + 2x - 3.

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Using factor theorem, show that (x - 2) is a factor of x³ + x² - 4x - 4. Hence, factorise the polynomial completely.

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Show that 2x + 7 is a factor of 2x³ + 5x² - 11x - 14. Hence, factorise the given expression completely, using the factor theorem.

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Mathematics

Show that (x - 2) is a factor 3x² - x - 10. Hence, factorize 3x² - x - 10.

Factorisation

Related Questions

By factor theorem, show that (x + 3) and (2x - 1) are the factors of 2x² + 5x - 3.

Without actual division, prove that x⁴ + 2x³ - 2x² + 2x - 3 is exactly divisible by x² + 2x - 3.

Using factor theorem, show that (x - 2) is a factor of x³ + x² - 4x - 4. Hence, factorise the polynomial completely.

Show that 2x + 7 is a factor of 2x³ + 5x² - 11x - 14. Hence, factorise the given expression completely, using the factor theorem.

Mathematics

Show that (x - 2) is a factor 3x2 - x - 10. Hence, factorize 3x2 - x - 10.

Factorisation

Related Questions

By factor theorem, show that (x + 3) and (2x - 1) are the factors of 2x2 + 5x - 3.

Without actual division, prove that x4 + 2x3 - 2x2 + 2x - 3 is exactly divisible by x2 + 2x - 3.

Using factor theorem, show that (x - 2) is a factor of x3 + x2 - 4x - 4. Hence, factorise the polynomial completely.

Show that 2x + 7 is a factor of 2x3 + 5x2 - 11x - 14. Hence, factorise the given expression completely, using the factor theorem.

Show that (x - 2) is a factor 3x² - x - 10. Hence, factorize 3x² - x - 10.

By factor theorem, show that (x + 3) and (2x - 1) are the factors of 2x² + 5x - 3.

Without actual division, prove that x⁴ + 2x³ - 2x² + 2x - 3 is exactly divisible by x² + 2x - 3.

Using factor theorem, show that (x - 2) is a factor of x³ + x² - 4x - 4. Hence, factorise the polynomial completely.

Show that 2x + 7 is a factor of 2x³ + 5x² - 11x - 14. Hence, factorise the given expression completely, using the factor theorem.