Question

p(x)=x⁴+4x³+5x²–7x–3,s(x)=x²– 1 2,Divide the given polynomial p(x) by the polynomial s(x).

Answer 1

The calculation cannot be shown here in the editor.

The two given polynomials are: P(x) = x⁴+4x³+5x²–7x–3, s(x) = x²– 1 2.

We have to find the value of P(x) / s(x).

Please refer the image attached where we have achieved the quotient is: (x² + 4x + 17) and the remainder is (41x + 201).

I've also verified it below.

Answer 2

Hi ,

It is given that ,

p( x ) = x⁴ + 4x³ + 5x² - 7x - 3 ,

s( x ) = x² - 1

x² - 12) x⁴+4x³+5x²-7x-3(x²+4x+17
*******x⁴ + 0 - 12x²
________________
***********4x³ + 17x² - 7x
***********4x³ + 0 - 48x
___________________
*****************17x² + 41x - 3
*****************17x² + 0 - 204
______________________
***********************41x + 201

Quotient = x² + 4x + 17

Remainder = 41x + 201

I hope this helps you.

: )