Factorise: 56x^2 - 9x - 2 (by splitting the middle term) pls tell fast
Answers
The first term is, 5x2 its coefficient is 5 .
The middle term is, +9x its coefficient is 9 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 5 • -2 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is 9 .
-10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3
-1 + 10 = 9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 10
5x2 - 1x + 10x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (5x-1)
Add up the last 2 terms, pulling out common factors :
2 • (5x-1)
Step-5 : Add up the four terms of step 4 :
(x+2) • (5x-1)
Which is the desired factorization