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1.5.6 Polynomials and rational expressions

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Question 24

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]

Markscheme

1.5.6 Polynomials and rational expressions Questions

A Level
Maths
1.5.6 Polynomials and rational expressions

113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.

1.5.6 Polynomials and rational expressions

Question bank

1.5.6 Polynomials and rational expressions

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Question 24

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]

Markscheme

1.5.6 Polynomials and rational expressions Questions

A Level
Maths
1.5.6 Polynomials and rational expressions

113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.