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-BARSIC- [3]
3 years ago
10

Select the two binomials that are factors of this trinomial x^2+10x+16

Mathematics
1 answer:
ohaa [14]3 years ago
8 0

<u>Answer:</u>

The correct options are A: x+8 and C: x+2.

<u>Step-by-step explanation:</u>

We are given the following expression and we are to factorize it:

x^2+10x+16

We are to find such factors that when multiplied they give a result of 16 (1 x 16 = 16) and when added they give a result of 10.

The two such factors of 16 are positive 2 and positive 8.

Factorizing the given expression to get:

x^2+10+16\\\\x^2+2x+8x+16\\\\x(x+2)+8(x+2)\\\\(x+2)(x+8)

Therefore, the two binomial factors of the given expression x^2+10x+16 are (x+8) and (x+2).

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