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Expand the following expression: -5x(x-7)(x+3)

Expansion of the given expression will result in x to the 3rd power, as there are 3 parts involving x, multiplied together. Let's ignore -5x for a second, and multiply the two expressions in brackets (usi...

MS
Answered by Matas S. Maths tutor
4699 Views

The curve has equation y = x^3 - x^2 - 5x + 7 and the straight line has equation y = x + 7. One point of intersection, B, has coordinates (0, 7). Find the other two points of intersection, A and C.

As both equations are equal to y, we can combine them to create a single equation in terms of x: x^3 - x^2 -5X + 7 = x + 7. Shift the equation so the left hand side is equal to 0 on the right: x^3 - x^2 -...

AB
Answered by Alfie B. Maths tutor
7241 Views

How do I simplify a surd?

Take the number that is in the root sign, and change it to 2 numbers multiplied together (we want one of these numbers to be a square number). A square number is 1, 4, 9, 16 etc. Then separate this into t...

FE
Answered by Francesca E. Maths tutor
3998 Views

How to solve a quadratic equation by using the discriminant or by factoring?

A quadratic equations is a second-order equation with at most two solutions.The standard form of a quadratic equation looks like: ax2 + bx + c = 0 . For instance if we have the equation x2...

KH
Answered by Kader H. Maths tutor
1856 Views

Find the stationary points of the curve y=2*x^3-15*x^2+24*x+17. Determine whether these points are maximum or minimum.

First, differentiate and put the derivative equal to zero. dy/dx=6x^2-30x+24=0. Solve this equation to get that x=4 and x=1. Substitute these values into the original equation to get the correspo...

SM
Answered by Shaun M. Maths tutor
3847 Views

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