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
Answer:
see attachment
Step-by-step explanation:
The applicable property of exponents is ...
![\sqrt[n]{x^m}=x^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%3Dx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
The 4th selection uses this property directly. The 3rd selection uses the property
![(a^b)^c=a^{bc}](https://tex.z-dn.net/?f=%28a%5Eb%29%5Ec%3Da%5E%7Bbc%7D)
to show that the cubes of the two expressions are equivalent. Since all the numbers involved are real numbers, this is equivalent to showing the expressions equivalent.
you can do
4x200 then
4x70 then
4x5
finally you u add all the products togethers