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20-05-2021
Mathematics

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factorize 2x⁴+x³-14x²-19x-6
no spam and kindly explain your answer!

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duaarashid41 duaarashid41

20-05-2021

Step-by-step explanation:

Consider given the expression,

⇒2x4+x3−14x2−19x−6

⇒x3(2x+1)−(14x2+19x+6)

⇒x3(2x+1)−(14x2+7x+12x+6)

⇒x3(2x+1)−[7x(2x+1)+6(2x+1)]

⇒x3(2x+1)−(2x+1)(7x+6)

⇒(2x+1)(x3−7x−6)

Hence, this is the answer.

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