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BIG IDEAS MATH 2015 > Chapter 7 > Section Exercises 7.2 > Exerc Find (t-2)(t^(2)-5t+1). (t-2)(t^(2)-5t+1)=

BIG IDEAS MATH\newline2015> 2015> Chapter 7> 7> Section Exercises 7.2> 7.2> Exerc\newlineFind (t−2)(t2−5t+1) (t-2)\left(t^{2}-5 t+1\right) .\newline(t−2)(t2−5t+1)= (t-2)\left(t^{2}-5 t+1\right)=

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Q. BIG IDEAS MATH\newline2015> 2015> Chapter 7> 7> Section Exercises 7.2> 7.2> Exerc\newlineFind (t−2)(t2−5t+1) (t-2)\left(t^{2}-5 t+1\right) .\newline(t−2)(t2−5t+1)= (t-2)\left(t^{2}-5 t+1\right)=
  1. Multiply terms in trinomial: Now, multiply tt by each term in the trinomial.t(t2)−2(t2)+t(−5t)−2(−5t)+t(1)−2(1)t(t^{2}) - 2(t^{2}) + t(-5t) - 2(-5t) + t(1) - 2(1)
  2. Simplify each term: Simplify each term. t3−2t2−5t2+10t+t−2t^{3} - 2t^{2} - 5t^{2} + 10t + t - 2
  3. Combine like terms: Combine like terms.\newlinet3−(2t2+5t2)+(10t+t)−2t^{3} - (2t^{2} + 5t^{2}) + (10t + t) - 2\newlinet3−7t2+11t−2t^{3} - 7t^{2} + 11t - 2

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