Find the value of x : 13x²+20x-92
Answers
Step-by-step explanation:
2.1 Factoring 13x2-20x-92
The first term is, 13x2 its coefficient is 13 .
The middle term is, -20x its coefficient is -20 .
The last term, "the constant", is -92
Step-1 : Multiply the coefficient of the first term by the constant 13 • -92 = -1196
Step-2 : Find two factors of -1196 whose sum equals the coefficient of the middle term, which is -20 .
-1196 + 1 = -1195
-598 + 2 = -596
-299 + 4 = -295
-92 + 13 = -79
-52 + 23 = -29
-46 + 26 = -20 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -46 and 26
13x2 - 46x + 26x - 92
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (13x-46)
Add up the last 2 terms, pulling out common factors :
2 • (13x-46)
Step-5 : Add up the four terms of step 4 :
(x+2) • (13x-46)
Which is the desired factorization