tex]Divide first polynomial by second polynomial by linear method.

July 2023 1 3 Report

[tex]5 {x}^{5} + 4 {x}^{4} - 3 {x}^{3} + 2 {x}^{2} + 2 \div {x}^{2} - x[/tex]
Divide first polynomial by second polynomial by linear method.

Step-by-step explanation:

f(x) = 5x⁵+4x⁴-3x³+2x²+2

g(x) = x²-x

x²-x) 5x⁵+4x⁴-3x³+2x²+2 (5x³+9x²+12x+14

-5x⁵+5x⁴

--------------------

9x⁴-3x³+2x²+2

-9x⁴+9x³

----------------

12x³+2x²+2

-12x³+12x²

-----------------

14x²+2

-14x²+14x

---------------

14x+2

Quotient = 5x³+9x²+12x+14

Remainder = 14x+2

(5x⁵+4x⁴-3x³+2x²+2)=(5x³+9x²+12x+14)( x²-x)+( 14x+2)