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Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

(x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x+2therefore(x + 1)(x + 2)(x+3)= (x^2+3x+2)(x+3) = x^3 + 3x^2 + 2x + 3x^2 + 9x + 6 = x^3 + 6x^2+ 11x + 6where a=1 b=6 c=11 and d=9expansion of brackets can be done ...
JT
Answered by Jeremy T. • Maths tutor
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a) Give an example of an alpha radiation source used in homes b) Why is it safe to use a source of alpha radiation in the house

a) Smoke detector- americiumb) As alpha radiation is not very penetrating
Answered by • Physics tutor
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In the expansion of (x-7)(3x**2+kx-3) the coefficient of x**2 is 0. i) Find the value of k ii) Find the coefficient of x. iii) write the fully expanded equation in terms of x

i) multiply out: 3x 3+kx 2-3x-21x 2-7kx+21 simplify: 3x 3+(k-21)x 2+(-7k-3)x+21 the coefficient of x 2 is 0 and therefore k-21=0 k=21. ii)from i) the coefficient of x is (-7k-3) k=21 and therefore the requir...
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For the equation 7x+3y=10x/y make x the subject.

7xy+3y 2=10x 3y 2=10-7xy 3y 2=x(10-7y) 3y 2/10-7y=x
TH
Answered by Tom H. • Maths tutor
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work out 64^2/3

solve 64 2/3 ... note X 2/3 = X 2 x 1/3 therefore 64 2/3 = (64 2 ) 1/3 = (4096) 1/3 = 16
PK
Answered by Patrick K. • Maths tutor
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