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The polynomial f(x) is defined by f(x) = 18x^3 + 3x^2 + 28x + 12. Use the Factor Theorem to show that (3x+2) is a factor of f(x).

The factor theorem states that if (x+a) is a factor of f(x), then f(-a)=0. This basically means that if (x+a) is a factor of f(x), then when (x+a)=0, f(x)=0, i.e. when x=-a, f(-a)=0. Our (x+a) in this cas...

Answered by George F. • Maths tutor

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Describe the pressure and volume changes in the lungs during inspiration

During inspiration, the intercostal muscles contract, moving the sternum up and out. This increases the thoracic volume, hence decreasing the pressure. The pressure gradient set up causes air inflow from ...

Answered by Dhaval N. • Biology tutor

3969 Views

Describe the interaction that is responsible for keeping protons and neutrons together in a stable nucleus.

The interaction responsible for keeping protons and neutrons together in a stable nucleus is the strong interaction. The strong interaction has a very short range of less than/up to 5fm. The strong intera...

Answered by Dhaval N. • Physics tutor

11676 Views

MEI (OCR) M4 June 2006 Q3

The question may be seen here: https://pmt.physicsandmathstutor.com/download/Maths/A-level/M4/Papers-OCR-MEI/Combined%20QP%20-%20M4%20OCR%20MEI.pdf
i) Let A = 4E-4 W, B=1E4 m/s^2 s.t. P = mA...

Answered by Oliver K. • Further Mathematics tutor

2315 Views

Use simultaneous equations to find the points where the following lines cross: 3x - y = 4 and x^2 + 7y = 5

The points where the lines cross are the points where the two equations equal each other. To do this we solve simultaneous equations. Call equations as follows:(a) 3x - y = 4(b) x² + 7y = 5 Fir...

Answered by Emma M. • Maths tutor

3275 Views