Question

X² + 5x + 4
Factor the polynomial

Answer 1

`(x+4)(x+1)`

Explanation:

the formula is

`(x+a)(x+b)=x^(2)+(a+b)x+ab`

so

a+b=5

ab=4

so the possible values are

a=1 b=4

a=4 b=1

we have

`(x+4)(x+1)\\\\(x+1)(x+4)`

it's the same

so the factor

`(x+4)(x+1)`

Answer 2

Answer: (x+4) (x+1)

X^2+4x+x+4