factorize x²-8/x please urgent
Answers
Answer:
Q- x R- -8
Step-by-step explanation:
STEP
1
:
x2 - 8
Simplify ——————
x
Trying to factor as a Difference of Squares:
1.1 Factoring: x2 - 8
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 8 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Polynomial Long Division :
1.2 Polynomial Long Division
Dividing : x2 - 8
("Dividend")
By : x ("Divisor")
dividend x2 - 8
- divisor * x1 x2
remainder - 8
- divisor * 0x0
remainder - 8
Quotient : x
Remainder : -8