Find a polynomial f(x) of degree 5 that has the

Agaiepsh

Agaiepsh

Answered question

2021-12-05

Find a polynomial f(x) of degree 5 that has the following zeros.
-3, -7, 5 , 2 ,9
f(x)=

Answer & Explanation

soniarus7x

soniarus7x

Beginner2021-12-06Added 17 answers

We have zeroes of the polynomial are given as follows 
-3, -7, 5 , 2, 9 
f(x)=ax5+bx4+cx3+ dx 2+3x+f
x=-3 
x+3=0 
(x+3) becomes the factor of above polynomial.  
=(x+3)(x+7)(x-5)(x-2)(x-9) 
=(x2+10x+21)(x5)(x2)(x9)  
=(x3+5x229x105)(x2)(x9) 
=(x4+5x329x2105x2x310x2+58x+210)(x9)  
=(x5+3x439x347x2+210x9x427x3+351x2+423x1890) 
=(x56x466x3+304x2+633x1890) 
Answer: he polynomial of degree 5 is (x56x466x3+304x2+633x1890).

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