Question

Factor the polynomial :5k^3+100k^2+500k

Answer 1

factor out a k :P

Answer 2

ooh better yet 5k since 100 and 500 are both divisible by 5k :D

Answer 3

From the start, you can factor out 5k \[5 k (k^2+20 k+100)\]

Answer 4

@timo86m okay and I get 5k(k^2 +20k+100) after that what do I do?

Answer 5

you can further factor

(k^2+20 k+100)

Answer 6

Try to find two numbers that not only equal 20 when added but also equal 100 when multiplied together....

Answer 7

Like 4 and 3:
\[4 + 3 = 7\]\[4 \times 3 = 12\]

Answer 8

its 10 and 10 =D

Answer 9

try factroing a 10 since

10*10=100
10+10=20

(k+10)^2 is a factor of the above and you plug it back in to get

5 k (10+k)^2

Answer 10

oh i was right!

Answer 11

WOO-HOO! You got it

Answer 12

and after that what's the next step?

Answer 13

5 k (10+k)^2
Is factored :P

Answer 14

Its completely factored now :)