Factor f(x)= x^4 - 24x^2 -25 (show full steps)

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Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (22x2 -  24x) +  37  = 0  

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  4x2-24x+37  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -24x  its coefficient is  -24 .

The last term, "the constant", is  +37  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 37 = 148  

Step-2 : Find two factors of  148  whose sum equals the coefficient of the middle term, which is   -24 .

     -148    +    -1    =    -149  

     -74    +    -2    =    -76  

     -37    +    -4    =    -41  

     -4    +    -37    =    -41  

     -2    +    -74    =    -76  

     -1    +    -148    =    -149  

     1    +    148    =    149  

     2    +    74    =    76  

     4    +    37    =    41  

     37    +    4    =    41  

     74    +    2    =    76  

     148    +    1    =    149  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

2

:

 4x2 - 24x + 37  = 0

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

ok

step-by-step explanation: