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

Step-by-step 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

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.