Question

2x^2+3x+1 find the factors ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

To find : factors of $2x^{2} + 3x + 1$

Solution :

• To find factors of given algebraic expression $2x^{2} + 3x + 1$  we split middle term $3x$ such that product of factors is last term of expression and  sum or difference is middle term .
• Therefore , we write ,

            $2x^{2} + 3x + 1 = 2x^{2} - 2x - x + 1$

         taking common factors

                                $= 2x ( x - 1) -1( x - 1)$

                                $= ( 2x - 1 ) ( x - 1)$

       Hence factors of $2x^{2} + 3x + 1$ are $( 2x - 1 ) ( x - 1)$.