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1.1.10 Algebra and functions

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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]

Markscheme

1.1.10 Algebra and functions Questions

A Level
Maths
1.1.10 Algebra and functions

64 exam-style questions on CCEA A Level Maths 1.1.10 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.1.10 Algebra and functions

Question bank

1.1.10 Algebra and functions

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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]

Markscheme

1.1.10 Algebra and functions Questions

A Level
Maths
1.1.10 Algebra and functions

64 exam-style questions on CCEA A Level Maths 1.1.10 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.