Question

what is the factorization of 100x^2+20x+1

Answer 1

would it (2x+10)(2x+10)

Answer 2

no
but it is another perfect square

Answer 3

what is \(100x^2\) the square of ?

Answer 4

1000

Answer 5

10

Answer 6

actually \(10x\) right?

Answer 7

yeah

Answer 8

ok, and what is 1 the square of?

Answer 9

1

Answer 10

right

Answer 11

now we check that \(2\times 10\times 1=20\) which is right
so we have the perfect square \((10x+1)^2\)

Answer 12

would just x+10 x+10 right

Answer 13

lets go slow

Answer 14

\(100x^2\) is the same as \((10x)^2\) so \(10x\) will be the first term

Answer 15

ok

Answer 16

and \(1^2=1\) so \(1\) will be the second term

Answer 17

yeah i just wrong them wrong

Answer 18

since \(2\times 10x\times 1=20x\) which is the middle term, we know it is a perfect square

Answer 19

the square is \((10x+1)^2\)