Question

Factor each expression. Be sure to factor completely.
x2 + 5x + 4

Answer 1

`\sf{x}^(2) + 5x + 4 = 0`

• Write 5x as sum of 4x and x

`\sf{x}^(2) + 4x + x+ 4 = 0`

• Factor out x from the equation

`\sf \: x (x + 4) + 1(x+ 4 )= 0`

`\sf \: (x + 4) (x+ 1)= 0`

`\implies \tt \: x = - 4 \: and \: x = - 1`