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Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange. ԓ E ő ̃I I g J Q A R h h S T ɁI t ̑厩 R C E ɏo ̂́A ̕ Ǝ R c Ă C h l V A Ȃ ł́B ̍ Ƃ ɂ͐ _ C u N Y ɂ Q I s A X y X space available s ܂Ő K v. Clearly, h(x) = (mx b)(nx c) is a polynomial of degree 2 and h(x) has two roots The respective roots are when f(x) = 0 and g(x) = 0 This means the graph of h(x) crosses the xaxis at the same two points as f(x) and g(x) Thus, if there are points of tangency then they must occur at these common points on the xaxis.

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