Will give
factor completely x3 + 6x2 + 8x + 48.
a. (x − 6)(x2 − 8)
b. (x − 6)(x2 + 8)
c. (x + 6)(x2 − 8)
d. (x + 6)(x2 + 8)

The answer is Option B

Step-by-step explanation:

Step 1: Group the given cubic polynomial into two sections.  

So  polynomial can be  grouped as

Step 2:Find what's the common in each section.

In section  the come term is

In section (8x + 48)  the come term is 8

Step 3:Factor the commonalities out of the two terms.

Factoring out from the first section  , we get  

Factoring out 8 from the second section(8x + 48) ,  we will get 8(x + 6).

Step 4: Combine the factors together for terms contains the same factor,

Combining we get,

17 1/3

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.