Answer:
p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18
d(x) = (x - 2)
r = 0
f(x) = x⁵ - 10x³ + 9
Step-by-step explanation:
From the synthetic division given in the question,
Polynomial p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18
Divisor d(x) = (x - 2)
After synthetic division of this polynomial by 2 we get the remainder,
r = 0
And the new polynomial f(x) that can be used further to find the other factors will be,
f(x) = x⁵ + (0).x⁴ + (-10)x³ + (0).x² + 9
f(x) = x⁵ - 10x³ + 9
