X^2 – 35x^3 + 216 = 0
Answers
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 216 = 216
Step-2 : Find two factors of 216 whose sum equals the coefficient of the middle term, which is -35 .
-216 + -1 = -217
-108 + -2 = -110
-72 + -3 = -75
-54 + -4 = -58
-36 + -6 = -42
-27 + -8 = -35 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -27 and -8
x2 - 27x - 8x - 216
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-27)
Add up the last 2 terms, pulling out common factors :
8 • (x-27)
Step-5 : Add up the four terms of step 4 :
(x-8) • (x-27)
Which is the desired factorization