SOLUTION: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor:
Question 915742: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor:
p^2 - 7pq + 10q2 Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! Make trial binomial factors to logically test.
You want p for one part and q for the other part; but along with q, you need mostl likely a 2 and a 5.
Try starting this way:
(p____2q)(p_____5q)
You know operation signs will need to be chosen between each number in each binomial. First think about the INNER and OUTER terms which would be summed. , , , ;
You know how the first term and the last term will fit. Now check the terms of pq. You need for their sum to be negative to fit , which they do fit perfectly IF negative signs are placed between the numbers in each binomial: .
The LAST position term will be without any trouble.
The acronym for managing multiplication of two binomials to give the four starter terms is FOIL, standing for FIRST, OUTER, INNER, LAST.