Math, asked by DJArjun4139T, 3 months ago

factorize x²-8/x please urgent​

Answers

Answered by lastg813
0

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

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