Factorise 4x² - 2x - 2
Answers
Step-by-step explanation:
(1): "x2" was replaced by "x^2".
STEP
1
:
Equation at the end of step 1
(22x2 - 2x) - 2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
4x2 - 2x - 2 = 2 • (2x2 - x - 1)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 - x - 1
The first term is, 2x2 its coefficient is 2 .
The middle term is, -x its coefficient is -1 .
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 -1 .
-2 + 1 = -1 That's it
Step-3 :. Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 1
2x2 - 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
Final result :
2 • (x - 1) • (2x + 1)
Your answer is....
(4x+2) (x-1)
Solution:
→ 4x²-2x-2. (Using Splitting method)
→ 4x²-4x+2x-2
→ 4x(x-1)+2(x-1). (taking common)
→ (4x+2)(x-1)
Have a great day dear ✌️.....(. ❛ ᴗ ❛.)