Question

How to solve x^2+15x+44 with the magic x

Answer 1

Answer:

(x+4)(x+11)

Step-by-step explanation:

x^2+15x+44 is known as a simple quadratic. It is considered "simple" because x^2 is not greater than 1.

To solve quadratics, you need to factorise them (put them into brackets). You can do this by seeing what 2 numbers multiply to give 44, and add to give 15. I have attached a photograph of me breaking down the number 44 into its multiplying factors, and identifying which factors have the sum of 15.

You can see that I have got the numbers 4 and 11.

I now need to put these numbers into 2 sets of brackets. Remember, the two sets of brackets need to multiply to give x^2+15x+44 when calculated using the grid method.

The two brackets that I have got are (x+4)(x+11), and it doesn't matter which way around you write it.