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 $A (t)$ .

1.1 Algebra and functions

Question 19

Markscheme

1.1 Algebra and functions

Question 19

Markscheme

1.1 Algebra and functions

Question 19

1.1 Algebra and functions Questions

1.1 Algebra and functions

Question 19

1.1 Algebra and functions Questions