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50 MAC 1105 MATH GYM FALL 2017 Week 9 Check if you understand: what is a polynom

ID: 3115768 • Letter: 5

Question

50 MAC 1105 MATH GYM FALL 2017 Week 9 Check if you understand: what is a polynomial or rational inequality Check if you are able to: Solve a polynomial inequality Solve a rational inequality solve questions that model polynomial and rational inequalities 1. a) Your 9th grade brother has an assignment to learn a math topic from a college student. He asks you to teach him whyis in lowest terms. Write down what you would say as well as the algebra you would use. 42+4 i in lowest termo because t2+4 b) Can you use the rules of adding fractions to show that is really in its lowest terms?

Explanation / Answer

a) ( t^2 + 4) / t^2

is in lowest terms as it cannot be simplified further

we cannot further factor t^2 + 4

so no term would get cancelled from top and bottom

hence, it is in lowest terms

b) using algebra of adding fractions

(t^2 + 4 ) / t^2

can be written as

t^2 / t^2 + 4 / t^2

= 1 + 4/ t^2

but when again we take lcd as t^2

we will get the expression back ( t^2 + 4 ) / t^2

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