Question

Find the quotient and the remainder. 9x^4 - x^2 + 2x + 9 divided by x^2 + 8 Use polynomial long division

Answer 1

Explanation:

Solution

Given:

9x4−4x2+4 divided by 3x2−4x+2

To find:

Quotient and remainder

Solution:

Consider,

3x2+4x+2

3x2−4x+2 )9x4−4x2+4

9x4+6x2−12x3

12x3−10x2+4

12x3−16x2+8x

6x2−8x+4

6x2−8x+4

0

From the above long division,

Quotient=3x2+4x+2

Remainder=0