Question

Help, Please!

Answer 1

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