Question

Solve by factorization method: 2x2 + 5x + 2 = 0.​

Answer 1

Answer:

2x^2+4x+x+2

2x(x+2)+1(x+2)

(2x+1)(x+2)

x=-1/2 x=-2

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

2x²+5x+2=0

By splitting the middle term,

we have to find two expressions whose sum id equal to 5x and product is equal to 4x²

So,

Those expressions are 4x and 1x

if we add 4x and 1x. we get 5x

if we multiply 4x and 1x, we get 4x²

so,

we can write 4x+1x in equation in place of 5x

the,

our equation is 2x²+4x+x+2=0

so,

2x(x+2)+1(x+2)=0

(2x+1)(x+2)=0