Answer:
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
