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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 case i...
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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 out...
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Answered by Dhaval N. • Biology tutor
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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 interacti...
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Answered by Dhaval N. • Physics tutor
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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 = m A V*(B+V^2).Recog...
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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) x 2 + 7y = 5 First take (a) a...
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Answered by Emma M. • Maths tutor
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