Question

factorize 2x²+10x+5=0

please tell me with the solution .

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Answer 1

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10 

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -10 .

     -10   +   1   =   -9     -5   +   2   =   -3     -2   +   5   =   3     -1   +   10   =   9

Observation : No two such factors can be found !!