Question

Factor completely 3x4 - 30x3 + 75x2.
3(x - 5)2
3x2(x - 5)2
3x2(x2 - 10x + 25)
3x2(x + 5)(x - 5)

Answer 1

Any ideas?

Answer 2

well i think it might be c

Answer 3

Yes, that is the first step, but can you factor c any further since the question asks factor "completely"?

Answer 4

i think so because 10 and 25 aren't simplified enough right?

Answer 5

right, there is a relationship between them...

Answer 6

10 = 2*(5)
25 = 5^2

Answer 7

yes so its would be d

Answer 8

nvmd crap

Answer 9

$$\Huge 3x^4 - 30x^3 + 75x^2$$$$\Huge =3x^2(x^2 - 10x + 25)$$

Answer 10

$$\Huge 3x^4 - 30x^3 + 75x^2$$$$\Huge =3x^2(x^2 - 10x + 25)$$$$\Huge a^2-2ab+b^2=(a-b)^2$$

Answer 11

yep lost

Answer 12

god im so failing

Answer 13

$$\Huge x^2 - 10x + 25=x^2-2(5)x+5^2$$

Answer 14

$$\Huge x^2 - 10x + 25= (x-5)^2$$

Answer 15

then you would distribute the exponent 2 right?

Answer 16

nope, you have the answer right there^^

Answer 17

oh see im terrible at math

Answer 18

so it would be d then?

Answer 19

Be patient and put the pieces together that I gave you...

Answer 20

ok give me a second

Answer 21

b?

Answer 22

yes

Answer 23

omg thank you so much!!! i'm definitely giving you a medal!

Answer 24

Thanks for trying so hard to learn :)

Answer 25

thanks for helping!!