Find an equation of a degree 3 polynomial(in factor form)

kloseyq

kloseyq

Answered question

2021-12-15

Find an equation of a degree 3 polynomial(in factor form) with the given zeros of f(x): -5,2,3. Assume the leading coefficient is 1.

Answer & Explanation

lalilulelo2k3eq

lalilulelo2k3eq

Beginner2021-12-16Added 38 answers

Step 1 
given, One is the leading coefficient of a degree three polynomial with the given zeros of f(x):5,2,3. 
Step 2 
Now, 
So, zeros of f(x): -5,2,3 
x=5 
(x+5) is a factor. 
x=2 
(x-2) is a factor. 
x=3 
(x-3) is a factor. 
Step 3 
 As a result, the polynomial f(x)
f(x)=(x+5)(x-2)(x-3) 
=(x+5)(x25x+6) 
=x(x25x+6)+5(x25x+6) 
=x35x2+6x+5x225x+30 
=x319x+30 
f(x)=x319x+30 
Having a one leading coefficient.

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