Find a degree 3 polynomial having zeros -8, 2, and

Gregory Jones

Gregory Jones

Answered question

2021-12-14

Find a degree 3 polynomial having zeros -8, 2, and 6 and the coefficient of x3 equal 1. the polynomial is:

Answer & Explanation

Nadine Salcido

Nadine Salcido

Beginner2021-12-15Added 34 answers

Step 1
Given:
Zeroes of the degree 3 polynomial:
-8, 2 and 6
Step 2
Then the factors will be
(x+8),(x-2) and (x-6)
Step 3
The degree 3 equation is given below:
(x+8)(x-2)(x-6)
(x22x+8x16)(x6)
(x2+6x16)(x6)
(x6)(x2+6x16)
x3+6x216x6x236x+96
x352x+96
Step 4
The 3 degree polynomial with zeros -8, 2 and 6 and coefficient x3 equal to 1 is:
x352x+96

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