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Marco Hays
Mathematics
14 November, 07:51
What would X/2x-14 • x^2-7x/5 equal to
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India Jones
14 November, 08:21
0
x2+7x-2x-14
Final result:
(x + 7) • (x - 2)
Reformatting the input:
Changes made to your input should not affect the solution:
(1) : "x2" was replaced by "x^2".
Step by step solution:
Step 1:
Trying to factor by splitting the middle term
1.1 Factoring x2+5x-14
The first term is, x2 its coefficient is 1.
The middle term is, + 5x its coefficient is 5.
The last term, "the constant", is - 14
Step-1 : Multiply the coefficient of the first term by the constant 1 • - 14 = - 14
Step-2 : Find two factors of - 14 whose sum equals the coefficient of the middle term, which is 5.
-14 + 1 = - 13
-7 + 2 = - 5
-2 + 7 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 2 and 7
x2 - 2x + 7x - 14
Step-4 : Add up the first 2 terms, pulling out like factors:
x • (x-2)
Add up the last 2 terms, pulling out common factors:
7 • (x-2)
Step-5 : Add up the four terms of step 4:
(x+7) • (x-2)
Which is the desired factorization
Final result:
(x + 7) • (x - 2)
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