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Let p(x) = 30 x^3 -7 x^2 - 7 x + 2. Prove that (2x + 1) is a factor of p(x) and factorise p(x) completely.

Using the Factor Theorem, we know that (2x + 1) = 2(x + 1/2) = 2(x - (-1/2) ) is a factor of p(x) if and only if p(-1/2) = 0, which is true. Now that we know a factor of ...

Answered by Maths tutor
3932 Views

What are the main functions of the UK Parliament?

Parliament has 3 main functions. The first is scrutinising government, this is completed by select committees who check and challenge their work. For example, approving government spending. The second is ...

UE
Answered by Uvini E. Law tutor
2787 Views

proof for the derivative of sin(x) is cos(x) (5 marks)

let f(x)=sin x f'(x) lim h-> 0 = ( sin(x+h) - sin(x))/h. f'(x) lim h-> 0 =( sin(x)cos(h) + cos(x)sin(h) - sin(x))/ h. f'(x) lim h-> 0=(sin(x)(cos(h)-1)/h + cos(x) (sin(h))/h. then as h tends to z...

NP
Answered by Nicola P. Maths tutor
3451 Views

In 'Hamlet' the father-son bond is presented as the most powerful

In the play 'Hamlet', the main father-son bond we become enthralled in is that of Hamlet and his father. Unmistakably, their bond is powerful; it is this bond which led to Hamlet's plot for revenge. In or...

MT
9419 Views

What is the role of the albedo effect?

The albedo effect is the amount of light a surface reflects. Snow, for example, has a high albedo effect because it does not absorb much light and reflects back a lot of it. Roads, however, have a low alb...

Answered by Geography tutor
2239 Views

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