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

step-by-step explanation:

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7