Help, Please! Synthetic division of the polynomial p(x) is shown in the table. Use it to write the polynomial function p(x), divisor d(x), remainder r, and new polynomial f(x) that can be used further to find other factors. Explain your 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

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step-by-step explanation: