2xsquare-3x+1 split the middle term
Answers
Answer:
(2x-1) • (x-1)
Step-by-step explanation:
The first term is, 2x^2 its coefficient is 2 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 2 • 1 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is -3 .
-2 + -1 = -3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -1
2x^2 - 2x - 1x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-1)
Add up the last 2 terms, pulling out common factors :
1 • (x-1)
Step-5 : Add up the four terms of step 4 :
(2x-1) • (x-1)
Which is the desired factorization
(2x-1) • (x-1)
2x-1 =0 or x-1 = 0.
2x= 1 or x= 1.
x= 1/2 or x= 1.
2x2 -3x+1=0
2x2-2x-x+1=0
2x(x-1)-1(x-1)=0
(2x-1) (x-1)=0
x=1/2. ,,,,, x = 1