how to do factorization
Answers
splitting the middle terms
2x2-x-6=0
Two solutions were found :
x = -3/2 = -1.500
x = 2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - x) - 6 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-x-6
The first term is, 2x2 its coefficient is 2 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 2 • -6 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .
-12 + 1 = -11
-6 + 2 = -4
-4 + 3 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 3
2x2 - 4x + 3x - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-2)
Add up the last 2 terms, pulling out common factors :
3 • (x-2)
Step-5 : Add up the four terms of step 4 :
(2x+3) • (x-2)
Which is the desired factorization
Equation at the end of step 2 :
(x - 2) • (2x + 3) = 0
Answer:
hy
Step-by-step explanation:
ur question is not clear