Answer:
The ac product of is <u>420</u>.
The factors of the ac product that add to 41 are <u>20</u> and <u>21</u>.
Step-by-step explanation:
1) The general form of a quadratic is . Hence, multiplying 35 by 12 gives you the product of ac, which is 420.
2) We need to find two numbers that multiply to 420 and add up to 41 <u>simultaneously</u>. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.
3) Write as a sum.
Now, we can factor them out by grouping.
Since, is common in both of the factors, we only take one of the
along with
and
.