Question

What is the expression in factored form?x^2+13x+14

Also an explanation
I dont understand this math at all

Answer 1

`\left(x-(-13+√(113))/(2)\right)\left(x-(-13-√(113))/(2)\right).`

Explanation:

To factor the expression
`x^2+13x+14` you need to know its roots.

First find the discriminant of this quadratic polynomial:

`D=13^2-4\cdot 1\cdot 14=169-56=113.`

Then the roots of the expression
`x^2+13x+14` are

`x_(1,2)=(-13\pm √(113))/(2).`

Now the factored form is

`\left(x-(-13+√(113))/(2)\right)\left(x-(-13-√(113))/(2)\right).`