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Vlad [161]
3 years ago
9

Consider the trinomial x2 + 10x + 16.

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

The coefficient of 10x and the last term 16 is what we'll focus on. Specifically just the numbers only (ignore the variable x for now).

Think of two numbers that both multiply to 16, and also add to 10. Those two numbers are 8 and 2 (in any order). You basically find this through trial and error.

8 + 2 = 10

8 * 2 = 16

So it factors to (x+8)(x+2). Since order of multiplication does not matter, this is the same as (x+2)(x+8)

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