polynomial questions 4u (1 Viewer)

[Bisu]

i) a polynomial P(x) of degree 3 has real coefficients and roots 2, 1+i if the leading coefficient of P(x) is 5. Find P(x) in the form ax^3 + bx^2 + cx + d

ii) Show that there are two values of k, one which is integral, for which (x-k) dividies P(x) where P(x)= 3x^3 + (k+3)x^2 - (4k^2 + k - 7)x - 4

iii) The zeros of a polynomial of degree 4 are 1, -1, 3 and 1/3. Find P(x) in the form ax^4 + bx^3, cx^2 + dx + e



thank you

 

[untouchablecuz]

i) a polynomial P(x) of degree 3 has real coefficients and roots 2, 1+i if the leading coefficient of P(x) is 5. Find P(x) in the form ax^3 + bx^2 + cx + d

ii) Show that there are two values of k, one which is integral, for which (x-k) dividies P(x) where P(x)= 3x^3 + (k+3)x^2 - (4k^2 + k - 7)x - 4

iii) The zeros of a polynomial of degree 4 are 1, -1, 3 and 1/3. Find P(x) in the form ax^4 + bx^3, cx^2 + dx + e



thank you

for iii), i need more information to give a complete solution

 

[Bisu]

for iii), i need more information to give a complete solution

Hey thanks..

I've been doing a booklet of questions since 10pm..so approaching 4.5hrs now and i couldnt get those..so thanks!

edit:you made a minor mistake when you expanded in question 2)..i think u shouldve got 2k^2 + 7k -4 =0
then you can factorise..thanks anyway