Question

hi can you please help me factored form for n^2+16n+64

Answer 1

Find two numbers \(p\) and \(q\) such that

\(p \times q = 64\)
\(p + q = 16\)

Answer 2

It is an example of a perfect square trinomial.
So, the factors are (x+8)(x+8)

Answer 3

what about this one n^2+24n+144

Answer 4

can you explain too please

Answer 5

*this is true to perfect square trinomials only*
First,
let y= be a number
(x+y)(x+y)=0
Then, expand the given terms,
\[x ^{2}+2yx+y^2=0\]
Since for a quadratic function
\[f(x)=Ax ^{2}+Bx+C\]
Your A=1, B=2y and C=y^2

Answer 6

Your y^2 in your equation is 144, therefore the value of your y=12.
Substituting 12 to the as your b will make 24 as the coefficient of x.
The factors will just be \[(x+12)^{2}\]

Answer 7

*substituting 12 as your b ...