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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 (using ...
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Answered by Matas S. • Maths tutor
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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 - 6x...
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Answered by Alfie B. • Maths tutor
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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 two ...
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Answered by Francesca E. • Maths tutor
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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: ax 2 + bx + c = 0 . For instance if we have the equation x 2 - 2x - 35 = 0(wh...
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Answered by Kader H. • Maths tutor
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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=6 x^2-30 x+24=0. Solve this equation to get that x=4 and x=1. Substitute these values into the original equation to get the corresponding valu...
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Answered by Shaun M. • Maths tutor
4523 Views