Can anyone double check my work for factoring completely?
1)
3x^2 + 17x + 10
= (3x + 2)(x + 5)

2)
5y^8 - 125
= 5(y^8 - 25)
= 5(y^4 + 5)(y^4 - 5)

3)
a^2 - 2ab - 15b^2
= (a - 5b)(a + 3b)

4)
4c^2 - 12c + 9
= (2c - 3)(2c - 3)

5)
p^4 - 1
= (p^2 + 1)(p^2 - 1)

6)
6y^2 - 54
= 6(y^2 - 9)
= 6(y + 3)(y - 3)

7)
x^2 + 10x + 21
= (x + 7)(x + 3)

8)
a^2 - 10ab + 3b^2
= cannot be factored

9)
5x^2 - 10x
= 5x(x - 2)

10)
x^2 + 12xy + 35y^2
= (x + 7y)(x + 5y)

Question

Can anyone double check my work for factoring completely?
1)
3x^2 + 17x + 10
= (3x + 2)(x + 5)

2)
5y^8 - 125
= 5(y^8 - 25)
= 5(y^4 + 5)(y^4 - 5)

3)
a^2 - 2ab - 15b^2
= (a - 5b)(a + 3b)

4)
4c^2 - 12c + 9
= (2c - 3)(2c - 3)

5)
p^4 - 1
= (p^2 + 1)(p^2 - 1)

6)
6y^2 - 54
= 6(y^2 - 9)
= 6(y + 3)(y - 3)

7)
x^2 + 10x + 21
= (x + 7)(x + 3)

8)
a^2 - 10ab + 3b^2
= cannot be factored

9)
5x^2 - 10x
= 5x(x - 2)

10)
x^2 + 12xy + 35y^2
= (x + 7y)(x + 5y)

anonymous · Answer

wrong group?

Good thing i remember how to foil :D

I'm pretty sure on all of them but 8. The others are right, 8 I'm not sure. You might want to bring this question up in the mathematics group.

trancenova · Answer

Hey, yes, I think you accidentally asked this in the wrong group so it is now closed.