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Find all three roots of the cubic: 2x^3 +5x^2 - 22x +15=0.

First try a trivial solution, x=0: doesn't work. Then try x=1 this does work so (x-1) is a factor of the cubic. Through algebraic factorisation (2x2+7x-15) comes out as a factor. This can be fa...

Answered by Stanley W. Maths tutor
2927 Views

What do I need the Pythagoras theorem for?

As an example you can use it to calculate the length of the hypotenuse in a triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides.

As a formula a^2 + b^2 ...

Answered by Fabienne D. Maths tutor
2745 Views

Why is the integral of a function the area?

Say you have two functions, A and B, and A is the gradient of B. That is to say, A is as high as B is steep (at any point). Equally, A is as high as the rate of change of B (at any point). Now let’s say w...

Answered by Madison C. Maths tutor
2857 Views

How do we factorise an expression?

Step 1: Find the highest common factor of the terms in the expression eg. 3x+12. In this expression 3 is the highest common factor of the terms 3x and 12...

Answered by Maria L. Maths tutor
2877 Views

Simplify p^2× p^5

The answer is P^7 because p is the same in both numbers and their powers need to be added up

Answered by Alberto A. Maths tutor
4809 Views

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