The altitude $A (t)$ of a research drone relative to its launch platform is modeled by the function $A(t) = 3t^3 + pt^2 + qt - 20$ for $\ge 0$ , where $p$ and $q$ are constants.

Given that $(3 t - 2)$ is a factor of $A (t)$ , show that $2 p + 3 q = 86$ .

Given further that when $A (t)$ is divided by $(t + 1)$ , the remainder is $q - 36$ , find the value of $p$ and the value of $q$ .

Hence, using algebra, fully factorise $A (t)$ .

The altitude $A (t)$ of a research drone relative to its launch platform is modeled by the function $A(t) = 3t^3 + pt^2 + qt - 20$ for $\ge 0$ , where $p$ and $q$ are constants.

Given that $(3 t - 2)$ is a factor of $A (t)$ , show that $2 p + 3 q = 86$ .

Given further that when $A (t)$ is divided by $(t + 1)$ , the remainder is $q - 36$ , find the value of $p$ and the value of $q$ .

Hence, using algebra, fully factorise $A (t)$ .

1 Pure Mathematics

Question 214

Markscheme

1 Pure Mathematics

Question 214

Markscheme

1 Pure Mathematics

Question 214

1 Pure Mathematics Questions

1 Pure Mathematics

Question 214

1 Pure Mathematics Questions