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VladimirAG [237]
4 years ago
15

Please help me . factor. X^+2x-35

Mathematics
2 answers:
Shtirlitz [24]4 years ago
4 0

Factoring <span> x2+2x-35</span> 

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +2x </span> its coefficient is <span> 2 </span>.
The last term, "the constant", is <span> -35 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -35 = -35</span> 

Step-2 : Find two factors of  -35  whose sum equals the coefficient of the middle term, which is  <span> 2 </span>.

<span><span>     -35   +   1   =   -34</span><span>     -7   +   5   =   -2</span><span>     -5   +   7   =   2   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  7 
                     <span>x2 - 5x</span> + 7x - 35

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-5)
              Add up the last 2 terms, pulling out common factors :
                    7 • (x-5)
Step-5 : Add up the four terms of step 4 :
                    (x+7)  •  (x-5)
             Which is the desired factorization

Final result : (x + 7) • (x - 5) <span>
</span>
alexgriva [62]4 years ago
3 0
There are two solutions possible
x=7
x=-5
hope this helps
if wrong sorry.
should be right

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