Answer:
1.1 Factoring x2+x-30
The first term is, x2 its coefficient is 1 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -30
Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 1 .
-30 + 1 = -29 -15 + 2 = -13 -10 + 3 = -7 -6 + 5 = -1 -5 + 6 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 6
x2 - 5x + 6x - 30
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-5)
Add up the last 2 terms, pulling out common factors :
6 • (x-5)
Step-5 : Add up the four terms of step 4 :
(x+6) • (x-5)
Which is the desired factorization