Question

For the polynomial 6xy2 – 5x2y? + 9x2 to be a trinomial with a degree of 3 after it has been fully simplified, the missing exponent of the y-term must be ?

Answer 1

Example 1. Factor 30.
Solution. 30 = 2· 15 = 2· 3· 5
If we begin 30 = 5· 6, we still obtain -- apart from the order -- 5· 2· 3.
Problem 1. Factor 50.
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Do the problem yourself first!

50 = 2· 25 = 2· 5· 5

Factoring, then, is the reverse of multiplying. When we multiply, we write
2(a + b) = 2a + 2b.
But if we switch sides and write
2a + 2b = 2(a + b),
then we have factored 2a + 2b as the product 2(a + b).
In this sum 2a + 2b, 2 is a common factor of each term. It is a factor of 2a, and it is a factor of 2b. This Lesson is concerned exclusively with recognizing common factors.
Problem 2. Factor 3x − 3y.
3x − 3y = 3(x − y)

Problem 3. Rewrite each of the following as the product of 2x and another factor.
For example, 10x3 = 2x· 5x2. Rule 1 of exponents.
a) 8x = 2x· 4 b) 6ax = 2x· 3a c) 2x2 = 2x· x

d) 2x3 = 2x· x2 e) 4x10 = 2x· 2x9 f) 6x5 = 2x· 3x4

g) 2ax6 = 2x· ax5 h) 2x = 2x· 1

Answer 2

... no idea what the previous guy is on about...

Anyway, asked & answered here: https://questioncove.com/study#/updates/5f64be185ca306717f18140