Search over 10,000 free study notes

To find the percentage profit, we must first find the amount of money she receives from the sale of the bags of sweets.This is equal to the number of bags sold multiplied by the sale price of each bag.The...

The factor theorem states that a polynomial f(x) has a factor (x-k) if and only if f(k)=0. 
f(2) = 3(2)^3 - 8(2)^2 + 3(2) + 2 = 3(8) - 8(4) + 6 + 2 = 24 - 32 + 8 = 0.
==> (x-2) is a fac...

Step 1 - Label y = x²  + 4x – 8 as equation 1 and y = - 2x – 17 as equation 2.Step 2 - In this particular question it is easier to eliminate the y variable from both equations, as they are both...

LHS: Factorise numerator and denominator, which gives:((2x - 7)(x + 2))/((x + 2)(x + 4))Cancel out (x + 2), gives:(2x - 7)/(x + 4)Multiply both sides by (x + 4)(x + 3) to cancel the denominators, gives:(2...

Let's start by assuming that the squared root of 2 is a rational number and will prove it is irrational by contradiction.If srqt(2) is rational then it can be represented by an irreducible fraction. Let t...