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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 (2x 2 +7x-15) comes out as a factor. This can be factorised int...
SW
Answered by Stanley W. • Maths tutor
3818 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 = c^2
FD
Answered by Fabienne D. • Maths tutor
3694 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 we w...
MC
Answered by Madison C. • Maths tutor
3616 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 Step 2: Write the factor outside the brackets eg. 3x...
ML
Answered by Maria L. • Maths tutor
3846 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
AA
Answered by Alberto A. • Maths tutor
6313 Views