factories
2 x ^2 - 8 x - 10
Answers
Answer:
5 and -1 is the answer ok
2x2-8x-10)
Final result :
2 • (x + 1) • (x - 5)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 8x) - 10
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
2x2 - 8x - 10 = 2 • (x2 - 4x - 5)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 4x - 5
The first term is, x2 its coefficient is 1 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 1 • -5 = -5
Step-2 : Find two factors of -5 whose sum equals the coefficient of the middle term, which is -4 .
-5 + 1 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 1
x2 - 5x + 1x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-5)
Add up the last 2 terms, pulling out common factors :
1 • (x-5)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-5)
Which is the desired factorization
Final result :
2 • (x + 1) • (x - 5)
Hope it helps:)