How do you factor x^2+11=300?

2 Answers
Sep 16, 2015

(x+17)(x-17)=0

Explanation:

Subtract 300 from both sides

x^2+11-300=300-300

x^2-289=0

The left hand side is the difference of two squares.
We factor as follows

(x+17)(x-17)=0

Or we could say

x^2=289 by subtracting 11 from both sides

Taking the square root we have

x=+-sqrt(289)=+-17

but you want the factorization so we go with what i did first

Sep 16, 2015

(x-17)(x+17)

Explanation:

To factorise this, recollect that 17^2=289

The give expression can be simplified to x^2 -300 +11=0

x^2-289=0
(x^2- 17^2)=0

(x-17)(x+17)=0