Find the missing factor 2x^2+15x+7=(2x+1)(?)

Mathematics

1 answer:

Genrish500 [490]2 years ago

5 0

Answer:

? = (x + 7)

Step-by-step explanation:

2x^2 + 15x + 7 = (2x + 1) (?)

1. First you need to figure out what multiplied by 2x will give you 2x^2, which is x.

2. Then you need to find what would give you 15x. In this case because you have the 1 in (2x + 1), you already know that there is going to be an extra x. So, what times 2x gives you 14x? It's 7.

3. Lastly you need to make sure that 1 multiplied with 7 is equal to 7 and combine like terms.

4. Check: (2x + 1) (x + 7) =

2x^2 + 14x + 1x + 7 =

2x^2 + 15x + 7

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