Polynomial and Rational Function, Help! | Mathematics | Page 1

limber sun Jan 14, 2025, 1:35 AM

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I’m genuinely having a hard time finding out most of this. i would like to some help someone like me could understand (Dimwit person)😭😭

frank templeBOT Jan 14, 2025, 1:35 AM

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small crane Jan 14, 2025, 1:52 AM

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zeros are basically x intercepts, and multiplicity is like the exponent @limber sun

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so for like (x-2)^2 the multiplicity would be 2

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for that phrase

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holes are points of the function that are undefined and are therefore "holes" in the graph

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horizontal and slant asymptotes depend on the degree of the function

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uh i gtg oops

terse fox Jan 14, 2025, 1:55 AM

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Start by factorising...

$f(x) = \frac{x(2x+3)(x-5)}{3x^2-11x-20} = \frac{x(2x+3)(x-5)}{(3x+4)(x-5)}$

You can now identify the problems you have for te domain, where the denominator is zero.

midnight wraithBOT Jan 14, 2025, 1:57 AM

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Jay

terse fox Jan 14, 2025, 1:58 AM

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So, what can you figure out now about the domain?

About the intercepts?

What is the significance of there being an $(x-5)$ factor in

both the numerator and the denominator?

#Polynomial and Rational Function, Help!