Question

Write a polynomial of leat degree with real coefficient and with root 8 and 3–8. Write your anwer uing the variable x and in tandard form with a leading coefficient of 1

Answer 1

Answer:
`x^(3) - 3x^(2) - 64x + 192`

Explanation:

For every root a, we can say x - a is a factor of the polynomial.

So this polynomial's factors are x - 8, x - 3, x + 8. Then we simply multiply them all together to get

(x - 8)(x - 3)(x + 8) =
`(x^(2)-64)(x-3)` =
`x^(3) - 3x^(2) - 64x + 192`