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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