Question

Factor the polynomial.
x²+6x+5

Answer 1

Answer: (x + 1 )(x+5)

Explanation:

Given :

`x^(2)` + 6x + 5

Compare with the general quadratic equation:

a
`x^(2)` + bx + c

To factorize , you are to find two numbers that multiply to give ac , and add to give b.

After which you will re - write the middle number with those numbers.

From the given question , ac = 5
`x^(2)` , we are to find two numbers that will multiply to give 5
`x^(2)` and add to give 6x.

The numbers are 1x and 5x.

We will then replace the middle number by the two numbers , that is

`x^(2)` + x + 5x + 5

x(x+1) +5( x +1)

(x+1)(x+5)