The remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1.
To solve the question above, we make use of the remainder theorem.
Remainder Theorem: It states that if a function F(x) is divided by (x-a), the remainder is F(a).
From the question,
Given:
- Dividend ⇒ p(x) = -2x⁵+x⁴+5x³+4x+1
- Divisor ⇒ (x-2)
in view of the above and applying the Remainder theorem, The remainder will be p(2)
- p(2) = -2(2⁵)+2⁴+5(2³)+4(2)+1
- p(2) = -64+16+40+8+1
- p(2) = 1
hence the remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1
Learn more about the remainder theorem here: brainly.com/question/13328536
Answer:
Stars form large groupings
Explanation:
A large group of stars that have a common origin and are gravitationally bound for some length of time is called star clusters. Star clusters provide a way to study the ages of stars and stellar evolution. There are two categories of star clusters i.e. galactic clusters, and globular clusters.
Out of the given options, we can say that the correct option is (b) "Stars form large groupings".
You are exercising, doing aerobics or a stair climber at your fitness center. as you increase to a high intensity of exercise, you would expect the tidal volume to increase and the frequency of respiration to increase.
Grasses because they have a shallow root system and don't take long to grow.