The polynomial remainder theorem says that the remainder when dividing a polynomial

by a linear divisor

is simply

.
If

, then the remainder upon dividing by

is

You could also verify this by actually computing the quotient and remainder.
Answer:
A decimal is a fraction written in a special form. ... Decimal comes from the Latin word decimus, meaning tenth, from the root word decem, or 10. The decimal system, therefore, has 10 as its base and is sometimes called a base-10 system. Decimal can also specifically refer to a number in the decimal system.
Step-by-step explanation:
According to google
One Way:
We can change the mixed number to a decimal for comparing.

m =

m = 1.25 m
1.4 m > 1.25 m
Darren > Luke
Darren's jump was higher by (1.4-1.25)
0.15 m
Or another way change the decimal to a fraction and the mixed to an improper fraction too.

=

(Luke)
1.4 =

(Darren)
We need a common denominator to compare

(Luke)

(Darren)

(Luke)

(Darren)

Darren > Luke
By:

-

=

Which is also by
0.15 m
Darren jumps higher and by 0.15 m
Find the quotient: (25c^4 + 20c^3) ÷ 5c5c^3+4c^2.
Answer:
The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15
Step-by-step explanation:
<u>Given</u>
equation: x - 2/3y = 30
when y = 15
<em>Plug in y:</em>
1/5x - 2/3(15) = 30
1/5x - 10 = 30
<em>add</em> 10 to both sides,
1/5x - 10 + 10 = 30 + 10
1/5x = 40
<em>multiply</em> both sides by 5
1/5x * 5= 40 * 5
x = 200