Question

$(x6 + x4 + x2 + x + 5) \div x2 + 2x + 1$
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Answer 1

Step-by-step explanation:

x^6+x^4+x^2+x+5 ÷ x^2+2x+1

Using Long Division Method

x^2+2x+1_/x^6+x^4+x^2+x+5\_x^4-2x^3+

4x^2-6x+9

-x^6-2x^5-x^4

-2x^5+x^2+x+5

+2x^5+4x^4+2x^3

4x^4+2x^3 +x^2+x+5

-4x^4-8x^3-4x^2

-6x^3-3x^2+x+5

+6x^3+12x^2+6x

9x^2+7x+5

-9x^2-18x-9

-11x-4

Quotient = x^4-2x^3+4x^2-6x+9

Remainder = -11x-4

Hope it helps.