Find the value of n so that the expression is a perfect square trinomial. Then factor the trinomial. c²+2c+n
Determine the value of n

Given:

The trinomial is

To find:

The value of n for which the given trinomial is a perfect square and then factor the trinomial.

Solution:

We know that, the perfect square trinomial is given by

       ...(i)

We have,

       ...(ii)

From (i) and (ii), we get

Similarly,

Now,

The value of n is 1.

The trinomial is

Splitting the middle term, we get

Therefore, the factorized form of the trinomial is .

c

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.