Solution for 55x^2+79x+28
//--------------
// Final Result (11x + 7) • (5x + 4)
//--------------
//--------
// Drill : 55x^2+79x+28
//--------
Simplify :
((55 • (x2)) + 79x) + 28
//------------
// Step # 01: Simplify 55x2+79x + 28
//------------
# 01.01 Factoring 55x2+79x+28
Method : Factoring by splitting the middle term
The first term is 55x2 ,its coefficient is 55
The middle term is +79x ,its coefficient is 79
The last term, also called 'the constant', is +28
Step-1 : Multiply the coefficient of the
first term by the constant
55 • 28 = 1540
Step-2 : Find two factors of 1540 whose
sum equals the coefficient of the
middle term, which is 79
-1540 + -1 =-1541
-770 + -2 = -772
-385 + -4 = -389
-308 + -5 = -313
-220 + -7 = -227
-154 + -10 = -164
-140 + -11 = -151
-110 + -14 = -124
-77 + -20 = -97
-70 + -22 = -92
-55 + -28 = -83
-44 + -35 = -79
-35 + -44 = -79
-28 + -55 = -83
-22 + -70 = -92
-20 + -77 = -97
-14 + -110 = -124
-11 + -140 = -151
-10 + -154 = -164
-7 + -220 = -227
-5 + -308 = -313
-4 + -385 = -389
-2 + -770 = -772
-1 +-1540 =-1541
1 + 1540 = 1541
2 + 770 = 772
4 + 385 = 389
5 + 308 = 313
7 + 220 = 227
10 + 154 = 164
11 + 140 = 151
14 + 110 = 124
20 + 77 = 97
22 + 70 = 92
28 + 55 = 83
35 + 44 = 79 Tiger found it !!
Step-3 : Rewrite the polynomial splitting
the middle term using the two
factors found in Step-2, (35) and (44)
55x2 + 35x + 44x + 28
Step-4 : Add up first 2 terms, pulling
out like factors : 5x•(11x+7)
Add up last 2 terms, pulling
out common factors: 4•(11x+7)
———————————
Factorization is : (5x+4)•(11x+7)
//--------------
// Final Result (11x + 7) • (5x + 4)
//--------------
Processing ends successfully
