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The nth term refers to the function which will have to be applied to the number of a term in a sequence in order to produce that term.The 1st term in this sequence is 15 the 2nd is 18 and the 3rd is 21. W...

To solve this system of linear equations (therefore, to find x and y) we can proceed the following:1) we isolate x from the first question, moving -3y on the right hand side of the equation. When we move ...

The curve's equation is presented as an implicit function. Therefore we must use implicit differentiation to solve this problem. To do this, we differentiate both sides of the equation with respect to x, ...

A prime number is a number only divisible by itself and 1. To write 36 as a product of its prime factors we use a factor tree. The key thing to remember is to always circle the prime numbers. So we start ...

a) To show (x+2) is a factor, we want to show f(-2)=0. So (-2)^3-2(-2)^2 -29(-2)-42=-8-8+58-42=0
b) Divide  x^3 -2x^2-29x-42 by x+2 to get x^2-4x-21 which we factorise to get (x+3)(x-7). Hence f(x)=(...