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dedylja [7]
3 years ago
7

Please help me . factor. X^2-29x+100

Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 100 = 100</span> 

Step-2 : Find two factors of  100  whose sum equals the coefficient of the middle term, which is  <span> -29 </span>.

<span><span>     -100   +   -1   =   -101</span><span>     -50   +   -2   =   -52</span><span>     -25   +   -4   =   -29   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -25  and  -4 
                     <span>x2 - 25x</span> - 4x - 100

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-25)
              Add up the last 2 terms, pulling out common factors :
                    4 • (x-25)
Step-5 : Add up the four terms of step 4 :
                    (x-4)  •  (x-25)
             Which is the desired factorization

Final result :<span> (x - 4) • (x - 25)</span>
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