42 > 12x - 7 x 42 x 6 W
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Answers
Answer:
x2 - 3x - 18
Simplify ————————————
x2 + x - 42
Trying to factor by splitting the middle term
1.1 Factoring x2 - 3x - 18
The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -18
Step-1 : Multiply the coefficient of the first term by the constant 1 • -18 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 3
x2 - 6x + 3x - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
3 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-6)
Which is the desired factorization
Trying to factor by splitting the middle term
1.2 Factoring x2+x-42
The first term is, x2 its coefficient is 1 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
-6 + 7 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7
x2 - 6x + 7x - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
7 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+7) • (x-6)
Which is the desired factorization