Does anyone know how to figure out the following;
6x^3-14x^2+3x-7?

Question

Does anyone know how to figure out the following; 
6x^3-14x^2+3x-7?

compassionate · Answer

Yes, we do. Would you happen to know the first step, hun?

anonymous · Answer

well I multiplied the 6*7 and came up with 42... but when I added 6+7 it does not equal 14.

anonymous · Answer

I don't know if i'm doing the right thing or if i'm missing a step.?.?

compassionate · Answer

6x^3-14x^2+3x-7?

Exclude the 6x^3 

-14x^2 + 3x - 7, just solve that.

anonymous · Answer

ok so I came up with 98, and when added came up with 21, which 3 is a common factor when multiplied with 7.

compassionate · Answer

$$6x^3-14x^2+3x-7$$

You want to factor by grouping. 

6x³ - 14x² + 3x - 7 =

2x²(3x - 7) + 1(3x - 7) =

(2x² + 1)(3x - 7)

We basically found a common denominator for 6 and 14, and the same for 3 and 7, then we factored it through.

anonymous · Answer

Thank you for the explanation... I appreciate it...

compassionate · Answer

I hope it helped. 

OpenStudy on ~~

anonymous · Answer

it did thx...