11x^2 + 18x + 7 how to solve this sum
Answers
Answer:
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Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(11x2 + 18x) + 7
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 11x2+18x+7
The first term is, 11x2 its coefficient is 11 .
The middle term is, +18x its coefficient is 18 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 11 • 7 = 77
Step-2 : Find two factors of 77 whose sum equals the coefficient of the middle term, which is 18 .
-77 + -1 = -78
-11 + -7 = -18
-7 + -11 = -18
-1 + -77 = -78
1 + 77 = 78
7 + 11 = 18 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 11
11x2 + 7x + 11x + 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (11x+7)
Add up the last 2 terms, pulling out common factors :
1 • (11x+7)
Step-5 : Add up the four terms of step 4 :
(x+1) • (11x+7)
Which is the desired factorization
Final result :
(11x + 7) • (x + 1)