Factorise
1. 25a2 + 104a + 20
Answers
Answer:
STEP 1:
Equation at the end of step 1
(52a2 + 104a) + 20
STEP 2:
Trying to factor by splitting the middle term
2.1 Factoring 25a2+104a+20
The first term is, 25a2 its coefficient is 25 .
The middle term is, +104a its coefficient is 104 .
The last term, "the constant", is +20
Step-1 : Multiply the coefficient of the first term by the constant 25 • 20 = 500
Step-2 : Find two factors of 500 whose sum equals the coefficient of the middle term, which is 104 .
-500 + -1 = -501
-250 + -2 = -252
-125 + -4 = -129
-100 + -5 = -105
-50 + -10 = -60
-25 + -20 = -45
For tidiness, printing of 18 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored