Write two polynomial functions whose quotient will be the same degree as the divisor.

Step-by-step explanation:

Let the two polynomials be represented with f(x) and g(x);

Since, we have to generate the polynomial ourselves;

I'll make use of the following:

Note that; when the result of polynomial division is referred to as quotient;

To get the quotient, we simply divide f(x) by g(x)

Expand the numerator

Factorize:

Cross out 2x + 1

This implies that, the quotient, Q(x) is

Comparing the divisor g(x) and the quotient Q(x), we notice that they have the same degree of 1

14

step-by-step explanation:

14 x 3 = 42

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."