How do you factor y squared plus 12y plus 35?

Answer 1

y2 + 12y + 35 = ( y + 7 ) ( y + 5 )Explanation:

You need to use a diamond equation, which looks like an X. The number 35 will go on the top of the X, and the 12 on the bottom. Now, you need to figure out what two numbers you can multiply together to get the top number as the result, and add those same two numbers you multiplied to get the bottom number as the result. At this point, it is a guess and check, and there is no method to figure this part out. In this equation, the numbers 7 and 5 work, because 7 X 5 = 35 (the top number), and 7 + 5 = 12 (the bottom number). Now, you just take the variable (which is y), and put them in parentheses, to make the answer shown above.