So, to factor out the equation x²+12x+35, first multiply the first and last numbers. 1×35=35 So, you need to find the multiples of 35 that add up to 12. So, you find 7 and 5. These two numbers are the magic numbers that will be used as the correct factored form of x²+12x+35, because: >7×5=35 >7+5=12 So, using these two numbers, you get your factored form as: (x+5)(x+7)