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Step2247 [10]
3 years ago
14

Select the two binomials that are factors of this trinomial x2+10x+16

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

x^2+2x+8x+16

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: x(x+2)+8(x+2)

<u>Now you can rewrite this as (x+8)(x+2) , which is your final answer.</u>

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Statements:                                                 Reasons:

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