Question

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor? (x + 3) (x + 7) (x + 12) (x + 13)

Answer 1

x+3

Explanation:

its A or first option or (x+3)

Answer 2

Answer:
`x+3`

Explanation:

Given

`(x+5)` is a factor of
`x^2+8x+15` , that is

If
`x^2+8x+15` is divided by
`(x+5)`, it yields 0 remainder

Solve the quadratic equation

`\Rightarrow x^2+8x+15=0\\\Rightarrow x^2+3x+5x+15=0\\\Rightarrow (x+3)(x+5)=0\\\Rightarrow x=-3,-5`

Therefore,
`x+3` is another factor of the quadratic equation.