Question

Fx) = x2 - 8x + 15
g(x) = x-3
h(x) = f(x)/g(x)

Answer 1

Answer:
`\Large\boxed{h(x)=x-5}`

Explanation:

`\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppp\displaystyle\ \Large \boldsymbol{} h(x)=(f(x))/(g(x)) =? \\\\\\f(x)=x^2-8x+15\\\\\\x^2-8x+\underbrace{15+1-1}_(15)=0 \\\\\\\underbrace{x^2-8x+16}_((x-4)^2)-1=0 \\\\\\(x-4)^2-1\Longrightarrow f(x)=(x-5)(x-3)`
`\displaystyle\ \Large \boldsymbol{} h(x)=((x-3)(x-5))/((x-3))=\boxed{x-5}`