Factor 10x^2+100x+250

Question

I need to factor this polynomial:  10x^2+100x+250

Answer 1

Okay So, Start With Factoring, 10 x 250 = 2500

What times to 2500 and adds to 100, 50x50=2500, 50+50=100

So plug in the 50 and 50, and group the first two and second two, like so

(10x^2+50x)(50x+250) Now Factor Some more

Take out an 10x in first one, so, 10x(x+5)

And a 50 in the second one, so, 50(x+5) Put them together

10x(x+5)50(x+5), You have two (x+5), so move it to frount and combine your outsides.

(x+5)(10x+50)