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1. Which expression represents the

factored form of x2 - 13x + 36?
A (x - 4)(x - 9)
B (x - 3)(x - 12)
C (x + 9)x - 4)
D (x + 12)(x - 3)

2 Answers

5 votes
The answer is choice A. The middle number, the one with the x, in this case 13, is what the factors should add up to. so, -4 plus -9 equals -13, which is our middle number. the last number, without the x, is what the numbers must multiply to, in this case 36. so, -4 times -9 equals positive 36. So, choice A is the answer.
User RobertoFRey
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5 votes

Answer: Hello, There! your Answer is Below

A (x - 4)(x - 9)

Explanation:

Find p, and q, knowing sum = b = 13 and product c = 36. Compose factor pairs of 36-> (2, 18)(2, 12)(4, 9). this last sum is 9 = b. Then p = 4 and q = 9

Hope this Helps you!!

Have a great day!!

User Slambeth
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