Question

Factorise-
x power 3 + 7x power 3 + 14x + 8
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Answer 1

Given Equation is x^3 + 7x^3 + 14x + 8.

= > 8x^3 + 14x + 8.

It can be written as:

= > 2(4x^3 + 7x + 4)

= > 2((4x^3 - 2x^2 + 2x^2 + 8x - x + 4))

= > 2(4x^3 - 2x^2 + 8x + 2x^2 - x + 4)

= > 2((2x(2x^2 - x + 4) + 1(2x^2 - x + 4))

= > 2(2x + 1)(2x^2 - x + 4)

Hope it helps!