Question

One two-part algebra one question please? Help is greatly appreciated!! :-)

Answer 1

Part 1:

Factor each trinomial below. Please show your work and check your answer. (1 point each)

x2 – 8x + 15
a2 – a – 20
a2 – 5a – 20
a2 + 12ab + 27b2
2a2 + 30a + 100
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.

Answer 2

the trinomials will factor into 2 binomials:
x^2 - 8x + 15
you need 2 numbers a and b whose product ab = + 15 and sum a+ b = -8
factor 15:
3 * 5
5+ 3 = 8
but you have -8
so it must be -3 * -5
and factors are (x - 3)(x - 5)

Answer 3

Oh! Thank you so much!!!!!!!!!

Answer 4

yw

Answer 5

i'll do the second one then you can try the other 3
a^2 - a - 20

-20 = -5 * 4
-20 = 5 * -4
now we aim for -1 ( the middle term is -a or -1a)
-5 + 4 = -1

so we get
(x - 5)( x + 4)

Answer 6

Oh thank you so much! I really understand it now!

Answer 7

hint: start the 5th problem by dividing by 2