# Factorizing Polynomials Essay

327 Words2 Pages
Factorizing Polynomials and Solving Rational Expressions Answer the following questions and show all your calculations. There are different methods for factoring. All methods involve some sort of trial and error. That’s why it is always important to check your answer by foiling. 1. Factor a trinomial whose leading coefficient is 1. Pick any one of the problems and solve the trinomial. If the trinomial is prime, state this and explain why. a. x2+8x+15 b. x2–4x –5 c. x2–14x+45 2. Factor a trinomial whose leading coefficient is not 1. Pick any three problems and factor the trinomial. If the trinomial is prime, state this and explain why. a. 2x2+5x –3 b. 3x2–2x –5 c. 6x2–17x+12 d. 8x2+33x+4 e. 9x2+5x –4 f. 15x2–19x+6 3. Factor a difference of squares trinomial. Pick any three problems and find the difference. a. x2 –144 b. 64x2 –81 c. 36x2 –49y2 d. x4 –1 e. 81x4 –1 4. Factor a perfect square trinomial. Pick any two problems and factor each perfect square trinomial. a. x2+4x+4 b. x2–10x+25 c. 25x2+10x+1 d. 64x2–16x+1 5. Rational Expressions: Often we use rational expressions to evaluate the cost of a service. Pomper Demolition Service can estimate the cost of removing a percentage of debris after the demolition of a building. They use the following expression, where “x” is the percentage of debris cleaned up. 35000x2 – x200x Answer the following questions. Show all your calculations. a. Simplify this expression by factoring out the greatest common factor: 35000x2 – x200x b. Find the cost if Pomper Demolition Service removes 95% of the debris by evaluating the expression for x = 95. Submission Requirements: Answer all the questions included in the lab. You can submit your answers in a Microsoft Word document, or write your answers on paper and then scan and