factorise 6x3+19x2+16x+4
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Answer:
(x + 2)(2x + 1)(3x + 2)
Step-by-step explanation:
Given Equation is 6x³ + 19x² + 16x + 4
= 6x³ + 7x² + 12x² + 2x + 14x + 4
= 6x³ + 7x² + 2x + 12x² + 14x + 4
= x(6x² + 7x + 2) + 2(6x² + 7x + 2)
= (x + 2)(6x² + 7x + 2)
= (x + 2)(6x² + 3x + 4x + 2)
= (x + 2)[3x(2x + 1) + 2(2x + 1)]
= (x + 2)(3x + 2)(2x + 1).
Hope it helps!
mitajoshi11051976:
thanks
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