1.2.8 Algebra and Functions

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59

Question 32

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 $2 p + 3 q = 86$ .

[3]

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 $q$ .

[4]

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

[2]

1.2.8 Algebra and Functions Questions

A Level
Maths
1.2.8 Algebra and Functions

A Level
Maths WJEC
Question bank