Factor these equations

Question

1.) 4x4-8x²-192

 

Answer 1

Before you start, look at A, B, and C to see if there are any GCF (Greatest Common Factors) (numbers or letters) first.  In this case, it is 4.

 

4 (x⁴ -2x² -48) = 4 (x²-8)(x²+6)

Answer 2

Jesus

 

Assuming the expression is 4x⁴-8x²-192:

 

First, since all three terms are divisible by 4, factor out the 4 to get:

4(x⁴-2x²-48)

 

Next, factor the (x⁴-2x²-48) portion, by searching for two factors of the form (x²+a)(x²+b), which when multiplied out result in the original expression.  For some clues, we know that a*b needs to equal the last term(-48);  Also ax²+bx² must equal the middle term (-2x²).  a=6 and b=-8 satisfy these clues.

 

Therefore, the final factored result is:

4(x²+6)(x²-8)

 

Good Luck!

 

George T

Answer 3

I think you meant 4x⁴-8x²-192;

First, factor out 4.

4(x⁴-2x²-48). Now, write is as follows:

 

4(x⁴-2x²+1-49)=4((x⁴-2x²+1)-49)=4((x²-1)²-49)=4((x²-1)²-7²)=4(x²-1-7)(x²-1+7)=4(x²-8)(x²+6);

 

You can still factor x²-8 even further. x²-8=(x-2√2)(x+2√2);

 

So the final answer is:

 

4x⁴-8x²-192=4(x-2√2)(x+2√2)(x²+6)

Answer 4

Hi Jesus;

The question is...

 

4x4-8x²-192

 

First priority is...

8x²

However, we do not know what the x represents.  So we will do nothing.

Second priority is...

4x4

Of course this =16.

 

The equation is now...

16-8x²-192

 

Third priority

16-192

Of course this =-176

 

The equation is now...

-8x²-176

 

or

-(8x²+176)

 

I hope this helps.