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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

BS
Answered by Benjamin S. Maths tutor
5028 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 ...

PD
Answered by Paul D. Maths tutor
9157 Views

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 resp...

PD
Answered by Paul D. Maths tutor
3199 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)...

HS
9673 Views

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 x2 at the beginning. From this we can now start to answer the question. To calculate the minimum po...

HS
Answered by Harry S. Maths tutor
4385 Views

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