How do you explain Remainder Theorem?
Space and AstronomyRemainder Theorem is a way of addressing Euclidean’s division of polynomials. It states that when a polynomial is p(a) is divided by another binomial (a – x), then the remainder of the end result that is obtained is p(x).
Can you explain me the remainder theorem?
Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a); that isn’t essentially an element of the polynomial; you will find a smaller polynomial along with a remainder.
What is the remainder theorem in simple terms?
The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x – a, the remainder of that division will be equivalent to f(a).
Can you explain why the remainder theorem works?
The remainder theorem is a close cousin of the factor theorem, and says that when you divide by , the remainder you get is . Notice that this fits perfectly well with the factor theorem: if the remainder when you divide by something is zero, what you divided by is a factor!
How do you answer the remainder theorem?
Video quote: If you want to find the remainder. When you divide by X minus 4 it says just plug 4 in. So we get 3 times 4 cubed. Minus 2 times 4 squared. Plus 4 minus 6. Let's see 4 cubed is a 64.
What is remainder theorem in Class 9?
Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a). Proof: Let p(x) be any polynomial with degree greater than or equal to 1.
How do you introduce a remainder theorem?
Video quote: So this statement of factor theorem is if the rational integral function f of X is divided by X minus a then the remainder is f of a is equal to 0. And X minus a is a factor of f of X.
What is remainder theorem for Class 10?
According to the remainder theorem, if is divided by then, the remainder is given by, If is divided by , then the remainder is given by, Hence, a polynomial when divided by leaves a remainder 3 and when divided by leaves a remainder 1. Then if the polynomial is divided by , it leaves a remainder .
Recent
- Unraveling the Mystery: Tracing the Fate of Missing Coccolith Components Beyond Chalk
- Unveiling the Journey: Tracing the Fate of Lightning-Generated NOx in the Atmospheric Boundary Layer
- Enhancing Earth Science Interpolation with Python: Unleashing the Power of 3D Unstructured Grid Generation
- Quantifying the Optical Thickness of the Earth’s Atmosphere: Bridging Earth Science and Mathematics
- Unraveling the Thermodynamic Puzzle: Demystifying Effective Temperature, Emission Temperature, and Effective Emission Temperature in Earth Science and Climate Change
- Methane Detection in Martian Soil: Unveiling Clues to Potential Martian Life
- Unveiling the Electromagnetic Secrets: Exploring the Electric Permittivity of Quartz in Earth Science
- Unveiling the Depths: Exploring the Fundamentals of Petrophysics in Seismic Earth Science
- Unraveling the Arctic Ice Mystery: Examining the Proportions of Snowfall and Frozen Sea Water in the Cryosphere
- Assessing the Probability of a Future Devastating Earthquake and Tsunami in the Philippines: A Comprehensive Earthscience Analysis
- Decoding the Dichotomy: Unraveling the Distinction Between ‘Loading’ and ‘Receiving’ in Water Quality Modeling
- Unveiling Australia’s Magnetic Enigma: Investigating the Existence of a 20-Degree Deviation Caused by a Submerged Object
- Material used in river embankment and difference between levees and dykes
- The Significance of Surface Selection: Unveiling the Impact of Albedo Changes under Clear and Overcast Skies on Earth’s Climate