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trasher [3.6K]
3 years ago
9

Which of the binomials below is a factor of this trinomial? x^2+8x+16

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
<h3>Answer:  x+4</h3>

This is because the given expression factors to (x+4)(x+4), which condenses to (x+4)^2.

To factor, think of two numbers that A) multiply to 16, and B) add to 8. Those values would be 4 and 4

4+4 = 8

4*4 = 16

So that's how we end up with (x+4)(x+4). You can use the FOIL rule to expand that out and get x^2+8x+16 again to help verify you have the correct factorization.

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