Question

x^3+2x^2+3x+5 dived by x^2+x+1​

Answer 1

Step-by-step explanation:

hope you understand the answer

Answer 2

Answer:

Dividend = x³ + 2x² + 3x + 5

Divisor = x² + x + 1

Quotient = x + 1

Remainder = x + 4

Step-by-step explanation:

( x³ + 2x² + 3x + 5 ) ÷ ( x² + x + 1 )

Please find the photo attached below.

We can check the answer by division algorithm.

Division Algorithm ⇒ Dividend = (Divisor × Quotient) + Remainder

Solving RHS = (Divisor × Quotient) + Remainder

= { ( x² + x + 1 ) × ( x + 1 ) } + ( x + 4 )

= { x ( x² + x + 1 ) + 1 ( x² + x + 1 ) } + ( x + 4 )

= ( x³ + x² + x + x² + x + 1 ) + ( x + 4 )

= ( x³ + 2x² + 2x + 1 ) + ( x + 4 )

= x³ + 2x² + 2x + 1 + x + 4  

= x³ + 2x² + 3x + 5 = Dividend = LHS

Hence, my answer is right.

Hope it helped!!!

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