Question

Using factor theorem factorise it completely
2x cube +3x square + 5x-6

Answer 1

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Answer 2

Step-by-step explanation:

2x^3 - 3x^2 - 17x + 30

= 2x^3 - 4x^2 +x^2 -2x - 15x + 30

=2x^2(x-2) +x(x-2) -15(x-2)

=(x-2)(2x^2 +x -15)

=(x-2)(2x^2 +6x -5x -15)

=(x-2)(2x(x+3) -5(x+3))

=(x-2)(x+3)(2x-5)

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