Part 1: Factor each trinomial below. Please show your work and check your answer. For the first one: x^2 - 8 x + 15 x^2 - 5x - 3x + 15 x(x-5) -3(x-5) (x-5)(x-3) The check: x(x-3)-5(x-3) x^2 – 3x-5x+15 x^2-8x+15 Question 2: a2 – 5a – 20 Prime and cannot be factored. Question: 3 a^2 - a - 20 a^2 -5a+4a-20 a(a-5)+4(a-5) (a-5)(a+4) Question 4: a^2 + 12ab + 27b^2 a^2 + 9ab + 3ab + 27b^2 a(a+9b) + 3b(a+9b) (a+9b)(a+3b) Question 5: 2a2 + 30a + 100 2(a^2 + 15a + 50) the values that add to give 15a multiply to 50a^2 are 10a and 5a 2(a^2 + 5a + 10a + 50) 2(a+10)(a+5)

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Part 1: Factor each trinomial below. Please show your work and check your answer. For the first one: x^2 - 8 x + 15 x^2 - 5x - 3x + 15 x(x-5) -3(x-5) (x-5)(x-3) The check: x(x-3)-5(x-3) x^2 – 3x-5x+15 x^2-8x+15 Question 2: a2 – 5a – 20 Prime and cannot be factored. Question: 3 a^2 - a - 20 a^2 -5a+4a-20 a(a-5)+4(a-5) (a-5)(a+4) Question 4: a^2 + 12ab + 27b^2 a^2 + 9ab + 3ab + 27b^2 a(a+9b) + 3b(a+9b) (a+9b)(a+3b) Question 5: 2a2 + 30a + 100 2(a^2 + 15a + 50) the values that add to give 15a multiply to 50a^2 are 10a and 5a 2(a^2 + 5a + 10a + 50) 2(a+10)(a+5)

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How does all of that look?
Question 4 is correct, doing in my head, second.
Sorry question 5 is actually 2(a+10)(a+5)

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You're doing very well, congrats. (:
Thanks!
Part 2: (5 points) It’s your turn to be a game show host! As you know, in the game of Math Time, the contestants are given an answer and they must come up with the question that corresponds to the given answer. Your task for this portion of the assignment is to create two different “answers” (and the questions that accompany them) that the host could use for the final round of Math Time. The questions and answers you create must be unique. Check out the example and hint below, if needed. 1 point for creating the two questions and answers. 2 points per question/answer for accuracy. Example: Question for Host: x2 + 6x + 5 is the product of these two binomials. Expected Question from Contestant: What is (x + 5)(x + 1)? HINT: Create the two binomials first and then use the distribution method to find their simplified product. The simplified product is the answer and the two binomial factors, the expected question. Hosts question 1: The product of these two binomials is x2+x-20 Answer: What is (x+5)(x-4) Hosts question 2: The product of these two binomials is x2+7xy+12y
How about this part

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