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f(x) = 6x³ + 13x² - 4. Use the factor theorem to show that (x+2) is a factor of f(x)

If x+2 is a factor implies x=-2 is a solution Sub in x=-2 : f(-2) = 6*(-2)³ + 13*(-2)² -4 = 6*-8 +13*4 - 4 = 0 f(-2) = 0 therefore x+2 is a solution
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Answered by Benjamin S. • Maths tutor
5786 Views

Fidn the solutions to the quadratic equation: x^2 - 16 = 0

Solve by adding 16 to both sides of the equation yielding: x^2 = 16. Then take the square root of both sides (remembering that taking the square root gives us a positive and a negative answer), giving us x =...
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Answered by Paul D. • Maths tutor
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Integrate by parts the following function: ln(x)/x^3

Let integrate be denoted by the letter I. For instance I(f) is the integration of a function f . Then Integration by parts states that I(u v') = uv - I(u' v), where u,v are function with u', v' their respect...
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Answered by Paul D. • Maths tutor
3835 Views

Discuss the advantages and disadvantages of two different energy storage systems.

Picking 2 different types of storage would be a good start (i.e. not two different types of batteries; this way you have a little bit more to talk about as all storage types have their perks and setbacks). M...
HS
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A graph is sketched with the equation x^2+4x-5. Find the minimum point of this graph.

Okay so the first thing we can identify is that it is a quadratic, hence the x 2 at the beginning. From this we can now start to answer the question. To calculate the minimum point we must " complete th...
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Answered by Harry S. • Maths tutor
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