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:
D)
Explanation:
If the explosion doesn't alter the Earth's rotation, the lack of moon would cause the Earth to rotate at a constant speed. This means that every day would be 24 hours long for the rest of the Earth's existence. The Earth's tides would also change because the gravity the moon exerts on the oceans would no longer exist.
TritionalshiftsofEscherichiacoliB/rtorichermediahavebeenanalyzedinsynchronouslygrowingandexponential-phasepopulations.Earlyperturbationsinthetimingofcelldivisionwereobserved.Attheslowgrowth,divisionpro-gressedatarateequaltoorlessthanthepreshiftrateforabout1h.Atintermediategrowth,bothdelaysandaccelerationindivisionwereobserved.Theextentoftheperturbationdependedupontheageofthecellsatthetimeoftheshiftandthecompositionofthepreshiftandpostshiftmedia.TheperturbationwasdifferentinthetwosubstrainsofE.coliB/r I got this from http://jb.asm.org/content/136/2/631.full.pdf hopefully it helps you
Answer:
a, b, d, and f.
Explanation:
<em>The periwinkle snails feed on plants. Consequently, they are said to herbivorous and heterotrophic since they cannot manufacture their own foods. They are also referred to as primary consumers because they directly feed on plants without any other nutritional option. They, therefore, occupy the second trophic level on a typical food web. </em>
The correct options are a, b, d, and f.
