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: $x^{3} - 3x^{2} - 64x + 192$

Step-by-step 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) = $(x^{2}-64)(x-3)$ = $x^{3} - 3x^{2} - 64x + 192$