Question

Divide polynomial 2x rise to the power of 4 -6xcube +2xsquare - x+2 by x+2
Please help me....​

Answer 1

Answer:

it's a hope fully work

Answer 2

Answer:

Given⤵

➡Polynomial 2x⁴-6x³+2x²-x-2 and x+2

To find⤵

➡Quotient and remainder by dividing Polynomial 2x⁴-6x³+2x²-x-2 by x+2.

Solution⤵

x+2) 2x⁴-6x³+2x²-x-2(2x³-10x²+22x-45

2x⁴+4x³

- -

__________

× -10x³+2x²

-10x³-20x²

+ +

____________

× 22x²-x

22x²+44x

- -

____________

× -45x+2

-45x-90

+ +

___________

× 92

✅Hence, Quotient is 2x³-10x²+22x-45 and remainder is 92.

Verification⤵

⚫Dividend= Divisor×Quotient+Remainder

➡2x⁴-6x³+2x²-x+2= (x+2) ×(2x³-10x²+22x-45) +92

➡2x⁴-6x³+2x²-x+2=x(2x³-10x²+22x-45) +2(2x³-10x²+22x-45) +92

➡2x⁴-6x³+2x²-x+2=2x⁴-10x³+22x²-45x+4x³-20x²+44x-90+92

➡2x⁴-6x³+2x²-x+2=2x⁴-10x³+4x³+22x²-20x²-45x+44x+2

➡2x⁴-6x³+2x²-x+2=2x⁴-6x³+2x²-x+2

RHS = LHS

✔Extra points⤵

✡Dividend= Divisor×Quotient+Remainder

Hope this is helpful to you!