Question

So im working with factoring by grouping and factoring trinomials by grouping in my algebra 2 class i need some help with a 6 questions.

1. factor completely :
`15 x^(2)`-x-2
2. factor completely: 10xy-5y+18x-9
3.factor completely:
`30 c^(2) - 20c^(2) -15c+10`
4. what is the factored form of
`2 x^(2) +20x+50`
5.what is the factored form of
`5 x^(2) +28x+15`
6.what is the factored form of
`4x^(2) -4x+1`

Answer 1

`15^2-x-2 \\ \\ 225 - x - 2 \\ \\ 223 - x \\ \\ Answer: \fbox {223 - x}`

----


`10xy-5y+18x-9 \\ \\ 5y(2x-1)+9(2x - 1) \\ \\ (2x - 1)(5y + 9) \\ \\ Answer: \fbox {(2x-1)(5y+9)}`

----


`30c^2-20c^2-15c+10 \\ \\ 10c^2 - 15c + 10 \\ \\ Answer: 10c^2 - 15c + 10`

----


`2x^2 + 20x + 50 \\ \\ GCF = 2 \\ \\ 2 ((2x^2)/(2) + (20x)/(2) + (50)/(2) ) \\ \\ 2(x^2 + 10 + 25) \\ \\ 2(x^2 + 2(x)(5)+5^2) \\ \\ 2(x + 5)^2 \\ \\ Answer: 2(x + 5)^2`

----


`5x^2+28x+15 \\ \\ 5x^2 + 25x + 3x + 15 \\ \\ 5x(x + 5) + 3(x + 5) \\ \\ (x + 5)(5x + 3) \\ \\ Answer: \fbox {(x + 5)(5x + 3)}`

----


`4x^2-4x + 1 \\ \\ (2x)^2-2(2x)(1)+1^2 \\ \\ (2x - 1)^2 \\ \\ Answer: (2x - 1)^2`

----

Hope this is what you need - considering I'm not the greatest at trinomials, but I have some characteristics of it.