Find the third degree polynomial with real coefficients such that 5 and are zeros and
Answer
X^3+ 5x^2 + 2x – 96
4x^3 - 20x^2– 4x – 80
x3 – 5x2+ 4x – 20
2x3 – 10x2 – 8x + 40

Question

Find the third degree polynomial with real coefficients such that 5 and are zeros and
Answer    
 X^3+ 5x^2 + 2x – 96  
   4x^3 - 20x^2– 4x – 80  
   x3 – 5x2+ 4x – 20  
   2x3 – 10x2 – 8x + 40

anonymous · Answer

do u know what it is @lilMissMindset

anonymous · Answer

does anyone know??

anonymous · Answer

you can factor the equations to get the value of the coefficient.

anonymous · Answer

General Method for Cubic & higher degree polynomial is Synthetic Division.
Factorise the polynomial by trail & error method which reduces into Quadratic polynomial (II nd degree polynomial ) then,as usual procedure (U may know it )
Another quicker method is,
If sum of coeffcients of odd degree = sum of coeffcients of even degree ( including constant term ), then (x+1) is a factor and hence (-1) is a root.
If sum of coeffcients of odd degree & even degree = 0 , then (x-1) is a factor and hence 1 is a root.
If the above said doesnt work then go for other numbers both negative as well as positive.

anonymous · Answer

the last two have a zero of 5 but the F(2) does not equal -96 so whaqt do i do??