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
The right answer for the question that is being asked and shown above is that: "-an extrusive igneous rock." Darby finds a rock in her backyard. It has large crystals. She has found <span>-an extrusive igneous rock</span>
Developing a coelom made nutrients more easily absorbed by roundworms. A coelom is a fluid filled cavity developed in the mesoderm and it is the main body of a roundworm. It contains the digestive tract and many other organs.
Asthma is a chronic disease of the lung that has been increasing at an alarming rate in industrialized countries around the world over the last few decades. Although considerable progress has been made in our understanding of the underlying pathogenesis of the disease, the exact causes of the increasing prevalence are unknown. Studies suggest that most asthma develops in early childhood and that environmental factors present early in life may be crucial in the development of disease. One potential explanation for the recent epidemic referred to as the "hygiene hypothesis" postulates that factors that have resulted in a reduction in exposure to microbial products and/or infections in the western world may be contributing to this rise in disease prevalence. As early life influences are known to play an important role in establishment of asthma, studies have focused on the interface between mother and child that occurs during gestation and through breastfeeding. In this regard, the body of evidence regarding the relationship between breastfeeding and asthma indicates benefit but with the potential for risk. While providing population-level protection from infections and atopy in infancy and early childhood, breastfeeding might also pose an increased risk of atopic asthma among children with asthmatic mothers.
