25xsquare-30x-10 middle splitting term
Answers
Answer:
(52x2 - 30x) + 10 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
25x2 - 30x + 10 = 5 • (5x2 - 6x + 2)
Trying to factor by splitting the middle term
3.2 Factoring 5x2 - 6x + 2
The first term is, 5x2 its coefficient is 5 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 5 • 2 = 10
Step-2 : Find two factors of 10 whose sum equals the coefficient of the middle term, which is -6 .
-10 + -1 = -11
-5 + -2 = -7
-2 + -5 = -7
-1 + -10 = -11
1 + 10 = 11
2 + 5 = 7
5 + 2 = 7
10 + 1 = 11