Question 36
Algebraic ExpressionsThe quantity (x + y) is a factor of
- A.x2+y2
- B.x3−y3
- C.2x2−3xy+y2−x+1
- D.2x3+2x2y−xy+3x−y2+3y
- E.x5−y5.
Show the answer and explanation
Answer: D (2x3+2x2y−xy+3x−y2+3y)
Explanation
(x + y) is a factor when putting x = −y gives 0. For D: −2y³ + 2y³ + y² − 3y − y² + 3y = 0; the others do not give 0.