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Mathematics
Stuart
25 July, 00:37
Factor the following expression.
x2 + 9x + 14
x2 + 9x + 14 =
+3
Answers (
1
)
Adriel Oliver
25 July, 02:36
0
Answer:x = 7
x = 2
Step-by-step explanation:
The first term is, x2 its coefficient is 1.
The middle term is, - 9x its coefficient is - 9.
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 - 9.
-14 + - 1 = - 15
-7 + - 2 = - 9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 7 and - 2
x2 - 7x - 2x - 14
Step-4 : Add up the first 2 terms, pulling out like factors:
x • (x-7)
Add up the last 2 terms, pulling out common factors:
2 • (x-7)
Step-5 : Add up the four terms of step 4:
(x-2) • (x-7)
Which is the desired factorization
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