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
Explanation:
Genes are located on chromosomes, which are large pieces of DNA contained in a eukaryotic cell's nucleus.
They could compete for the same food resource or actually hunt the native bird, therefore decreasing the population of the Native bird species.
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Answer:
The sedimentary rock limestone which contains carbonate mineral Calcite and the metamorphic rocks which contain carbonate mineral Aragonite are the examples of rocks which react strongly with hydrochloric acid.
Explanation:
Rocks are naturally occurring structures formed on the Earth's crust and are composed of aggregate minerals. Classification of rocks: Igneous rocks - formed by cooling of magma on Earth's crust or seabed (basalts, gabbros, granite, etc), sedimentary rocks - formed over time by the accumulation of sediments from the weathering of existing rocks or fragments of minerals and organisms (mudstone, sandstone, shale, limestone, dolostone, siltstone, etc) and metamorphic rocks - transformed rocks formed from the existing rocks that are subjected to large pressures and temperatures (schists, gneiss, marble, etc).
The carbonate minerals like calcite, dolomite, aragonite, etc react with hydrochloric acid and release carbon dioxide gas bubbles. Calcite (calcium carbonate), which is found in igneous, metamorphic, and sedimentary rocks in a varying proportion reacts strongly with hydrochloric acid. So, the sedimentary rock Limestone which mainly contains calcite react strongly with the acid while Dolostone which mainly contains dolomite (calcium magnesium carbonate) reacts less vigorously. Another carbonate mineral aragonite, found in metamorphic rocks also reacts strongly with hydrochloric acid.
