how many terms this polynomial has 3y+2y+3. Name them. Cannot we simplify and write it as 5y+3 which will have only two terms
Answers
Answer:
Simplify 2x2 + 3x – 4 – x2 + x + 9
It is often best to group like terms together first, and then simplify:
2x2 + 3x – 4 – x2 + x + 9
(2x2 – x2) + (3x + x) + (–4 + 9)
(2 – 1) x2 + (3 + 1) x + (5)
(1) x2 + (4) x + 5
x2 + 4x + 5
In the second line above, many students find it helpful to write in the understood coefficient of 1 in front of any variable expressions having no written coefficient, as is shown in red below:
(2x2 – x2) + (3x + x) + (–4 + 9)
(2x2 – 1x2) + (3x + 1x) + (–4 + 9)
(2 – 1) x2 + (3 + 1) x + (5)
1x2 + 4x + 5
x2 + 4x + 5
It is not required that the understood 1 be written in when simplifying expressions like this, but many students find this technique to be very helpful, at least when they're starting out. Whatever method helps you consistently complete the simplification correctly is the method you should use.