Give the vertex form and factored form of f(x)=x^2-12x+35. What specific information does
each form provide?

f(x)=(x-5)(x-7)

(x-6)²-1²

Step-by-step explanation:

Given:

Equation:

f(x)=x²-12x+35

Find:

Factories

Vertex form

Computation:

Factories

f(x)=x²-12x+35

f(x)=x²-(5+7)x+35

f(x)=x²-5x-7x+35

f(x)=x(x-5)-7(x-5)

f(x)=(x-5)(x-7)

So,

x = 5 , x = 7

Vertex form

By middle term divide by 2

12/2 = 6

So,

x²-12x+6²+35-6²

(x-6)²-1²

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540