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4x^2 + 8x + 3 can be written in the form a(x + b)^2 + c where a, b and c are whole numbers. Work out the values of a, b and c.

Factorise 4x 2 + 8x + 3 = 4(x 2 + 2x + 3/4) divide the coefficient of x by 2: 2/2=1 Now x 2 +2x = (x+1) 2 -1 2 = (x+1) 2 -1 Hence, 4((x+1) 2 -1+3/4) = 4(x+1) 2 -1 which is of the form a(x + b) 2 + c So a=4, ...
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Answered by Donny W. • Maths tutor
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Integrate (x^2+4x+13)/((x+2)^2)(x-1) dx by using partial fractions

Express (x 2 +4x+13) / (x+2) 2 (x-1) as partial fractions. (x 2 +4x+13) / (x+2) 2 (x-1) = a/(x+2) +b/(x+2) 2 +c/(x-1) where a, b and c are constants to be found. Multiplying by the denominator, we get (x 2 +...
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Answered by Donny W. • Maths tutor
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How would I approach a source question?

Approaching source questions, whilst they may seem daunting, are reasonably straighforward. You use the simple PEA/PEE structure, whilst also taking into account the nature origin and purpose of the source. ...
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Answered by Charlotte N. • History tutor
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Explain how a change in a sequence of DNA bases could result in a non-functional enzyme

A mutation in the DNA sequence may lead to a different amino acid sequence may lead to a different amino acid being produced in the primary protein structure of the enzyme during translation. This may cause ...
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Answered by Yusuf A. • Biology tutor
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Describe how a Pacinian corpuscle produces a generator potential when stimulated.

The increased pressure caused by the stimulus opens pressure gated sodium ion channels allowing Na+ ions to diffuse (down a concentration gradient) into the axon. This sudden influx of Na+ ions causes a loca...
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Answered by Yusuf A. • Biology tutor
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