Question

Divide polynomial x^4+8x^2+5x-7 by x-1 and find quotient and remainder. Also verify the division algorithm.

please gaive answer fast​

Answer 1

Answer:

Quotient = 3

Remainder = 4x^24x 2

Step-by-step explanation:

Dividend = 3 x^3+ 4 x^2+ 6x + 93x

3 +4x 2 +6x+9

Divisor = 3x^3+2x+33x 3 +2x+3

Dividend = (Divisor\times quotient)+RemainderDividend=(Divisor×quotient)+Remainder

3 x^3+ 4 x^2+ 6x + 9 = (3x^3+2x+3 \times 3)+4x^23x

3 +4x

2 +6x+9=(3x 3 +2x+3×3)+4x 2

So, quotient = 3

Remainder = 4x^24x 2

To Verify :

3 x^3+ 4 x^2+ 6x + 9 = (9x^3+6x+9)+4x^23x

3 +4x 2 +6x+9=(9x 3 +6x+9)+4x 2

3 x^3+ 4 x^2+ 6x + 9 = 9x^3+6x+4x^2+93x

3 +4x

2 +6x+9=9x

3 +6x+4x

2 +9

So, LHS = RHS

Step-by-step explanation:

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