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The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 +2x+3. Express f(x) in a fully factorised form.

To factorise the equation, we first need to find one of its roots. To do this, we need to find values of x for which f(x)=0.First we will guess x=1.So f(1)=2(1 3 ) - 7(1 2 ) + 2(1) + 3 = 2-7+2+3=0This tells ...
Answered by • Maths tutor
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How do I write a good paragraph?

Once you have a structure to follow, writing a paragraph is a lot easier. The following structure works for any paragraph, no matter how long it is. It's called PEEL. P - Point. Try and summarise the point y...
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Answered by Isobel C. • English tutor
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How do I structure an essay?

Firstly, keep calm! This is your opportunity to have fun exploring your own ideas on paper. When you get the question, try to break it down. For example, if it's a "how far do you agree that..." qu...
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Answered by Isobel C. • English tutor
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What is meant by the term osmosis?

The net diffusion of water from an area of high concentration to low concentration across a partially-permeable membrane. 3 key elements to the definition1) Diffusion of water2) high conc to low conc3) parti...
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Answered by Dominic I. • Biology tutor
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The charge that flows through the shower in 300 seconds is 18000C. The electric shower has a power of 13.8 kW. Calculate the resistance of the heating element in the shower.

Firstly, we want to define what information we know from the question: ∆Q = 18000C; ∆t = 300s, P = 13.8kW Therefore, to calculate the resistance we can use the power equation, P=I 2 R, and calculate the curr...
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Answered by Beth H. • Physics tutor
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