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1.2.8 Algebra and Functions

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Question 32

An engineer determines that the volume $V (t)$ of a specialized industrial component is modeled by the polynomial:

V(t) = 125t^3 + 150t^2 + 55t + 6

where $t\,$ is a dimension-scaling factor.

Use the factor theorem to prove that $(5 t + 1)$ is a factor of $V (t)$ .

[2]

Factorise $V (t)$ completely.

[3]

Hence, prove that $375m^3 + 450m^2 + 165m + 18$ is a multiple of 18 when $m\,$ is a positive whole number.

[3]

Markscheme

1.2.8 Algebra and Functions Questions

A Level
Maths
1.2.8 Algebra and Functions

72 exam-style questions on WJEC A Level Maths 1.2.8 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.2.8 Algebra and Functions

Question bank

1.2.8 Algebra and Functions

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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 60 61

Question 32

An engineer determines that the volume $V (t)$ of a specialized industrial component is modeled by the polynomial:

V(t) = 125t^3 + 150t^2 + 55t + 6

where $t\,$ is a dimension-scaling factor.

Use the factor theorem to prove that $(5 t + 1)$ is a factor of $V (t)$ .

[2]

Factorise $V (t)$ completely.

[3]

Hence, prove that $375m^3 + 450m^2 + 165m + 18$ is a multiple of 18 when $m\,$ is a positive whole number.

[3]

Markscheme

1.2.8 Algebra and Functions Questions

A Level
Maths
1.2.8 Algebra and Functions

72 exam-style questions on WJEC A Level Maths 1.2.8 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.