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:
Explanation:
The rock cycle is driven by two forces: (1) Earth's internal heat engine, which moves ... enough to drive mantle convection and there is no atmosphere or liquid water. ... In describing the rock cycle, we can start anywhere we like, although it's ... Referring to the rock cycle (Figure 3.2), list the steps that are necessary to cycle
Answer:
Recombinant plasmid
Explanation:
Researchers can insert DNA fragments or genes into a plasmid vector, creating a so-called recombinant plasmid.
This plasmid can be introduced into a bacterium by way of the process called transformation.
Wind-driven waves are created by friction between wind and surface water. When wind blows across the surface of an ocean the continual disturbance creates a wave crest. These waves can be created through local winds or distant winds. The waves can be affected by wind speed and wind duration. The faster the wind and the longer it blows, the bigger the waves. It also can depend on how far the wind blows uninterrupted.
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Hydrogen and hydroxide ions
