Question

Which expression is the factorization of x2 + 10x + 212

O (x+3)(x + 7)
O (x + 4)(x+6)
O (X+6)x+15)
O(x + 7)(x+14)

Answer 1

The answer is option 1.

Explanation:

Firstly, you have to elaborate the expression :

`{x}^(2) + 10x + 21`

`= {x}^(2) + 3x + 7x + 21`

Next you have to take out the common factors and factorize it :

`{x}^(2) + 3x + 7x + 21`

`= x(x + 3) + 7(x + 3)`

`= (x + 7)(x + 3)`

Answer 2

The right answer is (X+3)(X+7)

Please see attached picture for full solution

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