Question

Factor:
2a^2 + 30a + 100

Answer 1

A good start is to factor out the 2.

\( \color{Black}{\Rightarrow 2(a^2 + 15a + 50)}\)

Answer 2

\( \color{Black}{\Rightarrow 2(a^2 + 10a + 5a + 50)}\)

Can you manage now? Yes?

Answer 3

i got that part, what what's next?

Answer 4

i think its 50

Answer 5

First breackout 30a such that if we multiply them we get 100a^2 & if we add them we get 30a

Answer 6

2a^2 + 30a + 100
factor completely
2(a^2 + 15a + 50)
2(a + 10)(a + 5) works as 10a + 5a = 15a & 10*5 = 50

Answer 7

Thank youuu!

Answer 8

so,\[2a^2+20a+10a+100\]\[2a(a+10)+10(a+10)\]\[(2a+10)(a+10)\]

Answer 9

Hmm.

Answer 10

wait, which one is right?

Answer 11

@elitepenguin Please don't \(\textbf{answer}\) the questions.

Answer 12

ok

Answer 13

2a^2+30a+100
2(a^2+15a+50)
2(a^2+10a+5a+50)
2(a{a+10}+5{a+10})
2({a+10}{a+5})

Answer 14

basically you have to break the middle term (i.e 15a)into two values in such a way that when u multiply them u get 50 and when you add or minus them you get plus 15
for this question we use 10 and 5
10*5=50
10+5=+15