Answer:
The next term of the sequence is 42
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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