middle term split
2x^2-7x+6
Answers
Answer:
2x^2 - 4x - 3x + 6
2x ( x - 2 ) - 3 ( x - 2 )
( x - 2 ) ( 2x - 3 )
hope it helps
Step-by-step explanation:
7x-6-2x2
Final result :
(2 - x) • (2x - 3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(7x - 6) - 2x2
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-2x2 + 7x - 6 = -1 • (2x2 - 7x + 6)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 - 7x + 6
The first term is, 2x2 its coefficient is 2 .
The middle term is, -7x its coefficient is -7 .
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 -7 .
-12 + -1 = -13 -6 + -2 = -8 -4 + -3 = -7 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
Final result :
(2 - x) • (2x - 3)