Question

Obtain all zeros of the polynomial f(x) =2x^4+x^3-14x^2-19x-6,if two of its zeroes are - 2 and - 1.

Answer 1

Degree 4 - roots or zeros of polynomial also 4

Let the roots left be a and b

Given roots = -2 ,-1

a+b-2-1 (sum of roots)= -b/a = -1/2
a+b =5/2

a×b×2 (product of roots ) = c/a= -14/2=-7
2ab = 7
ab = 7/2
Or a = 7/2b

Putting this value we have:-
2b^2-5b+7=0
(2b-7)(b+1)=0

Therefore b = -1 or 7/2

And a =1 or -7/2

Here is your answer

Hope it helps

Thank u★★★
#CKC

PLZ MARK BRAINLIEST OF CORRECT