factors please
x²+2x-8
Answers
Step-by-step explanation:
Factoring x^2+2x-8
The first term is, x^2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is 2 .
-2 + 4 = 2
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 4
x2 - 2x + 4x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-2)
Add up the last 2 terms, pulling out common factors :
4 • (x-2)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-2)
Which is the desired factorization.
(x+4) = 0 (or) (x-2) = 0.
x= -4 (or) x= 2......
Thnks for asking question....
Solution- ...
x²+2x-8
x²+4x-2x-8
x(x+4)-2(x+4)
(x+4)(x-2)
x+4=0 x-2=0
x=0-4 x=0+2
x=(-4) x=2
Hence x=(-4,2)Ans....
Hope its helps u