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Mathematics: Post your doubts here!

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Can anybody pleases help me in part ii

View attachment 65093
Let f(x) = kx³ + 5x² + 10x + 4
According to factor theorem, f(-1 + √3 i) = 0

Thus,
k(-1 + √3 i)³ + 5(-1 + √3 i)² + 10(-1 + √3 i) + 4 = 0

Now solve for k,
k = 2

So, f(x) = 2x³ + 5x² + 10x + 4
Also, f(x) = {x - (-1 + √3 i)}{x - (-1 - √3 i)}{Ax + B}

f(x) = {x² + 2x + 4}{Ax + B} = Ax³ + (B + 2A)x² + (2B + 4A)x + 4B

Compare coefficient of x³: A = 2
Compare constant: B = 1

f(x) = (x² + 2x + 4)(2x + 1)
Thus, third root is -1/2.
 
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Is there any whatsapp group for this group and if yes can someone kindly add me over there
Should I tell my whatsapp number
 
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Can you please add me in whatsapp group because it suits me more, please remove someone who remains unactive
My whatsapp number is 03312554880
Pleasee 🙏🙏🙏
 
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Hello everyone. It would be a great help if you could please complete this very simple simple questionnaire with regards to COVID-19.

Its completely anonymous so please do mind checking it out.
Stay home. Stay safe.

Thank you!
 
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Assalamoalaikum Wr Wb!

Post your doubts here. Make sure you give the link to the question paper when posting your doubts.


May Allah give us all success in this world as well as the HereAfter...Aameen!!

And oh yeah, let me put up some links for A level Maths Notes here.

Check this out! - Nice website, with video tutorials for everything! MUST CHECK

My P1 Notes! - Only few chapters available at the moment!

Maths Notes by destined007

Some Notes for P1 and P3 - shared by hamidali391

A LEVEL MATHS TOPIC WISE NOTES

MATHS A LEVEL LECTURES

compiled pastpapers p3 and p4 - by haseebriaz

Permutations and Combinations (my explanation)- P6

Permutations and Combinations - P6

Vectors - P3

Complex No. max/min IzI and arg(z) - P3

Sketcing Argand Diagrams - P3 (click to download..shared by ffaadyy)

Range of a function. - P1



Can you please help with the very last part (iii) of question 10? And if you can please help with question 5 too.
 
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Animation of Point of Inflexion:
Animated_illustration_of_inflection_point.gif


Graph of the curve given in Q11:
Itp09ti.jpg
hello can you please reshare the image , because i really need it
 
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