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ycow [4]
3 years ago
11

Simplify. (3x3 - 7x2 + 12) - (3x3 + 6x2 + 10x)

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0
The answer is B. 

Do you need the explanation?


<span> (3x^3 - 7x^2 + 12) - (3x^3 + 6x^2 + 10x)
</span>First, remove parentheses


3x^3 - 7x^2 + 12 - 3x^3 -6x^2 -10x
eliminate the opposites 

then collect the like terms 
13x^2 +12 - 10x

and finally, use the commutative property to reorder the terms, and you'll get 
-13x^2-10x+12
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Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span>  6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0 </span><span>Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 6x2-x-4</span> 

The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span> 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

<span><span>     -24   +   1   =   -23</span><span>     -12   +   2   =   -10</span><span>     -8   +   3   =   -5</span><span>     -6   +   4   =   -2</span><span>     -4   +   6   =   2</span><span>     -3   +   8   =   5</span><span>     -2   +   12   =   10</span><span>     -1   +   24   =   23
</span></span>

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span><span> 6x2 - x - 4 = 0 </span>

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