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Firstly, you need factorise.a = 3 b = 13 c = 14Find 2 numbers which add to make b(13) and multiply to make ac(42). These numbers are 6 and 7You can now split up the x coefficient to: 3x^2 + 6x + 7x + 14. You...

Overall, the first ionisation energies will increase. This is because as you go along the period, the atomic number increases and this causes a stronger electrostatic attraction between the outer electrons a...

To factorise an expression such as x 2 - 8x + 15, you need to look for two numbers that add up to make -8 and multiply to give 15. The only option in this case is -5 and -3 (-5)+(-3)=-8and (-5)x(-3)=15as two...

Split into partial fractions: (3x +2) / (x 2 - 5x +6) = A / (x-3) + B / (x-2) => 3x + 2 = A(x-2) + B(x-3) let x = 2: 8 = -B => B = -8 let x = 3: 11 = A => A = 11 Now we can integrate f(x) = 11 / (x-...

Close analysis can be a difficult task but it is this difficulty that makes it equally rewarding. It allows the reader to zoom into sections of the text and reveal, through analysis, how the chosen writer ha...