1.2.8 Algebra and Functions

The vertical displacement $s$ (in metres) of a high-performance drone during a test maneuver is modelled by the polynomial function

s(t) = 2t^4 + pt^3 - 8t^2 + qt + 22

where $t$ represents the time in seconds after the maneuver begins, and $p$ and $q$ are constant coefficients.

When $s (t)$ is divided by $(t + 1)$ , the remainder is $7$ . Show that $p + q = 9$ .

[2]

When $s (t)$ is divided by $(t - 2)$ , the remainder is $10$ . Find the value of $p$ and the value of $q$ .

[4]

1.2.8 Algebra and Functions Questions

The vertical displacement $s$ (in metres) of a high-performance drone during a test maneuver is modelled by the polynomial function

s(t) = 2t^4 + pt^3 - 8t^2 + qt + 22

where $t$ represents the time in seconds after the maneuver begins, and $p$ and $q$ are constant coefficients.

When $s (t)$ is divided by $(t + 1)$ , the remainder is $7$ . Show that $p + q = 9$ .

[2]

When $s (t)$ is divided by $(t - 2)$ , the remainder is $10$ . Find the value of $p$ and the value of $q$ .

[4]