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Solve the equation 2x^3 - 5x^2 - 4x + 3 = 0.

In order to answer this question, the expression on the left side of the equation needs to be factorised. This can be done in three stages. 1) finding a factor by subbing in common integers (0, +/- 1, +/-...

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Core 3 Differentiation: If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx. Hint: Use the chain rule.

The function y = (3x²+2x+5)¹⁰ is an example of a "function within a function", which means the thing in the brackets is a function itself, and it's being raised to the powe...

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The equation of line 1 is: 3y-5x+3=0. The equation of line 2 is : y= 5x/3+9. Check whether the 2 lines intercept.

Rearranging the first equation: 3y=5x-3Then dividing by 3 so that the equation of the line will become in the form of y=mx+c, where m is the gradient and c is the interception point with the y-axis (0,c)W...

Answered by Panagiotis G. • Maths tutor

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Expand the brackets in the following expression and indicate what the graph would look like: y=(5x+1)(2x-3)

While this question is not in the style the examiners would ask, it demonstrates two important principles: how to expand brackets accurately and how to build intuition about the shape of graphs.
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Answered by Edward E. • Maths tutor

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