Determine if x - 2 is a factor of p(x) = x^4 - 3x^2 + 2x - 8, and explain why.

(x-2) is a factor of the given p(x).

Step-by-step explanation:

A general polynomial

can be written as a product of factors

where

are roots of that polynomial.

In the case given in this problem, we have the polynomial

and if we evaluate

we confirm that 2 is a root of this polynomial. Therefore, as it could be expressed as a factor of binomials with its roots, we can ensure that (x-2) is a factor of p(x).

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500