Question

Need help with factoring, x squared +12x+35

Answer 1

Factor x² + 12x + 35

Factoring a monic quadratic means guessing two numbers which multiply together to the constant, here 35, and add up to the linear coefficient, here 12.   35 doesn't have that many factors so we quickly land on 5 and 7 as the numbers we seek:

x² + 12x + 35 = (x + 5)(x + 7)