factorise 5-4y-12y2 plz give fast
Answers
Answer:
Step 1 :
Equation at the end of step 1 :
(5 - 4y) - (22•3y2)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-12y2 - 4y + 5 = -1 • (12y2 + 4y - 5)
Trying to factor by splitting the middle term
3.2 Factoring 12y2 + 4y - 5
The first term is, 12y2 its coefficient is 12 .
The middle term is, +4y its coefficient is 4 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 12 • -5 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is 4 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11
-12 + 5 = -7
-10 + 6 = -4
-6 + 10 = 4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 10
12y2 - 6y + 10y - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
6y • (2y-1)
Add up the last 2 terms, pulling out common factors :
5 • (2y-1)
Step-5 : Add up the four terms of step 4 :
(6y+5) • (2y-1)
Which is the desired factorization
Final result :
(1 - 2y) • (6y + 5)
Step 1 :
Equation at the end of step 1 :
(5 - 4y) - (22•3y2)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-12y2 - 4y + 5 = -1 • (12y2 + 4y - 5)
Trying to factor by splitting the middle term
3.2 Factoring 12y2 + 4y - 5
The first term is, 12y2 its coefficient is 12 .
The middle term is, +4y its coefficient is 4 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 12 • -5 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is 4 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11
-12 + 5 = -7
-10 + 6 = -4
-6 + 10 = 4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 10
12y2 - 6y + 10y - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
6y • (2y-1)
Add up the last 2 terms, pulling out common factors :
5 • (2y-1)
Step-5 : Add up the four terms of step 4 :
(6y+5) • (2y-1)
Which is the desired factorization
Final result :
(1 - 2y) • (6y + 5)