Factorise y^2 + 2y - 120 with whole solution
Answers
Answer:
The first term is, y2 its coefficient is 1 .
The middle term is, +2y its coefficient is 2 .
The last term, "the constant", is -120
Step-1 : Multiply the coefficient of the first term by the constant 1 • -120 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is 2 .
-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7
-12 + 10 = -2
-10 + 12 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 12
y2 - 10y + 12y - 120
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-10)
Add up the last 2 terms, pulling out common factors :
12 • (y-10)
Step-5 : Add up the four terms of step 4 :
(y+12) • (y-10)
Which is the desired factorization
Answer:
The first term is, y2 its coefficient is 1 .
The middle term is, +2y its coefficient is 2 .
The last term, "the constant", is -120
Step-1 : Multiply the coefficient of the first term by the constant 1 • -120 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is 2 .
-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7
-12 + 10 = -2
-10 + 12 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 12
y2 - 10y + 12y - 120
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-10)
Add up the last 2 terms, pulling out common factors :
12 • (y-10)
Step-5 : Add up the four terms of step 4 :
(y+12) • (y-10)
Which is the desired factorization
Answer:
The first term is, y2 its coefficient is 1 .
The middle term is, +2y its coefficient is 2 .
The last term, "the constant", is -120
Step-1 : Multiply the coefficient of the first term by the constant 1 • -120 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is 2 .
-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7
-12 + 10 = -2
-10 + 12 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 12
y2 - 10y + 12y - 120
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-10)
Add up the last 2 terms, pulling out common factors :
12 • (y-10)
Step-5 : Add up the four terms of step 4 :
(y+12) • (y-10)
Which is the desired factorization