415,662 views
19 votes
19 votes
Fx) = x2 - 8x + 15
g(x) = x-3
h(x) = f(x)/g(x)

User Valentin Schukin
by
2.7k points

1 Answer

20 votes
20 votes

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}

User Captainsac
by
3.0k points
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