Question

long division method in algebraic expression :
2x³ - 8x² + 5x - 8 by x - 2


pls tell me the answer first I mark you as brainliest ​

Answer 1

Step-by-step explanation:

Given :-

2x³ - 8x² + 5x - 8

To find :-

Divide 2x³ - 8x² + 5x - 8 by x - 2 ?

Solution :-

Given algebraic expression is 2x³ - 8x² + 5x - 8

Divisor = x-2

x-2) 2x³ - 8x² + 5x - 8 (2x²-4x-3

2x³ -4x²

(-) (+)

_______________

0 -4x² +5x

-4x² +8x

(+) (-)

________________

0 -3x-8

-3x+6

(+) (-)

_________________

-14 -Remainder

__________________

Answer :-

Quotient = 2x²-4x-3

Remainder = -14

Check:-

We have

Given algebraic expression is

2x³ - 8x² + 5x - 8

Divisor = x-2

Quotient = 2x²-4x-3

Remainder = -14

Division Algorithm on Polynomials is

p(x) = g(x)q(x) +r(x)

=> (x-2)(2x²-4x-3)+(-14)

=> (x)(2x²-4x-3)-2(2x²-4x-3)-14

=> 2x³-4x²-3x-4x²+8x+6-14

=> 2x2+(-4x²-4x²)+(8x-3x)+(6-14)

=> 2x³-8x²+5x-8

=> p(x)

=> given algebraic expression

Verified the given relations in the given problem.

Used formulae:-

Division Algorithm on Polynomials is

p(x) = g(x)q(x) +r(x)

Where ,

• p(x)=Dividend
• g(x)=Divisor
• q(x)=Quotient
• r(x) = Remainder

Used Method:-

Long Division method