Find a degree 3 polynomial having zeros -2, 1 and

Algotssleeddynf

Algotssleeddynf

Answered question

2021-12-14

Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x3 equal 1.
The polynomial is

Answer & Explanation

macalpinee3

macalpinee3

Beginner2021-12-15Added 29 answers

Step 1 Hint:
Zeroes are the values which makes the value of the polynomial zero.
As zeroes of the polynomial is given so we can write:
(x+2)(x-1)(x-8) = 0
Step 2
Solving the equation:
(x+2)(x-1)(x-8) = 0
(x2x+2x2)(x8)=0
(x2+x2)(x8)=0
x3+x22x8x28x+16=0
x37x210x+16=0
So polynomial is :
x37x210x+16

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