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Can two third-degree polynomials be added to produce a second-degree polynomial?
Yes. If the coefficient of the third degree terms in one polynomial are the additive inverses (minus numbers) of the coefficient of the corresponding terms in the second polynomial. Eg: 3x3 + 2x2 + 5 and -3x3 + x - 7 add to give 2x2 + x - 2
When polynomial is a quadratic polynomial?
Whenever there are polynomials of the form aX2+bX+c=0 then this type of equation is know as a quadratic equation. to solve these we usually break b into two parts such that there product is equal to a*c and I hope you know how to factor polynomials.
Why do math problems have two answers?
Assuming that you are reffering to something like this: (x - h)(x - k) = 0 x = h, x = k This is the fundamental theorem of algebra which states that is given a polynomial (multiple terms raised to positive powers ex) x^3 + 2x + 1), then the number of solutions to that polynomial is equal to the degree (or highest exponent) in the polynomial. The factorization in the beginning was dealing with a quadratic equation - when foiled out it equals x^2 - hx - kx + hk. The highest exponent in the quadratic is two and therefore there are two solutions. You can even think back to the factorization again: if x = h then the whole equation is 0, if x = k then the whole equation is 0.
The graph of a polynomial changes direction twice and has only one root What can you say about the polynomial?
It is a polynomial of odd power - probably a cubic. It has only one real root and its other two roots are complex conjugates. It could be a polynomial of order 5, with two points of inflexion, or two pairs of complex conjugate roots. Or of order 7, etc.
This is a polynomial with two terms?
binomial
A polynomial equation of degree two?
A Quadratic
What is an equation with two or more variables?
It is called a polynomial.
What is an equation involving two or more variables?
An equation with two or more variables is called a polynomial. It can also be a literal equation.
How do you do a parabola?
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
Is -4 a polynomial?
is -4 a polynomial? This depends on what you accept as a definition A polynomial is often defined as a set of things in order obeying certain rules. ( these things and rules can be very complicated) A polynomial EQUATION is an equation between two polynomials When using only real numbers and "regular" math rules -4 is a polymomial of degree 0 x = -4 is a polynomial equation is a polynomial of degree 1 it is the same as x +4 = 0 It can be represented by { 4, 0} Sometimes the terms are used interchangably
Why quadratic equation is used?
It's quite convenient, for it offers a general method to solve any equation that involves a polynomial of degree two (in one variable).
Example of a forth degree polynomial with two terms and a third degree polynomial with two terms that make seven degree polynomial show work?
Assuming you mean a fourth degree polynomial,P4 = x4 + 1P3 = x3 + 1P4*P3 = x7 + x4 + x3 + 1 is a seventh degree polynomial.
What are two polynomial functions whose quotient will have the same degree as the divisor?
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
What is a polynomial equation of degree two?
An equation consisting of polynomials where one of the terms contains the unknown value squared. This is known as a quadratic equation. Hello Mr E.Bs class in Sgoil Lionacleit!
What are the conditions for error to be minimum in least squares approximation?
Let's start with a first degree polynomial equation:This is a line with slope a. We know that a line will connect any two points. So, a first degree polynomial equation is an exact fit through any two points with distinct x coordinates.If we increase the order of the equation to a second degree polynomial, we get:This will exactly fit a simple curve to three points.If we increase the order of the equation to a third degree polynomial, we get:This will exactly fit four points.if we have more than n + 1 constraints (n being the degree of the polynomial), we can still run the polynomial curve through those constraints. An exact fit to all constraints is not certain (but might happen, for example, in the case of a first degree polynomial exactly fitting three collinear points). In general, however, some method is then needed to evaluate each approximation. The least squares method is one way to compare the deviations.
What is degree of polynomial?
9x5 -- 2x3 -- 8y+ 3This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a constant term.This is a fifth-degree polynomial.4b4 + 9w2 + zThis polynomial has three terms, including a fourth-degree term, a second-degree term, and a first-degree term. There is no constant term.This is a fourth-degree polynomial.a one-term polynomial, such as 6x or 3x^2, may also be called a "monomial" ("mono" meaning "one")a two-term polynomial, such as 2x + f or 4x2 -- 7, may also be called a "binomial" ("bi" meaning "two")a three-term polynomial, such as 5x + h + s or x4 + 7d2 -- 4, may also be called a "trinomial" ("tri" meaning "three")hint: ^ means to the raised poweri got a little help with this but i hope this is what you were looking for?
Why do you get 2 solutions in the quadratic equation?
This is due to the zero-product property. In principle, any polynomial equation of degree 2 can be factored as: (x - a)(x - b) = 0 Here is a specific example: (x - 5)(x + 3) = 0 Now, if the product of two factors is zero, it follows that one of the two factors is equal to zero; so the above becomes: x - 5 = 0 OR x + 3 = 0 Solving the individual parts, you get the two solutions. Of course, it is possible that the two factors happen to be the same; in this case, the polynomial is said to have a "double" root (i.e., a double solution). Similarly, a polynomial equation of degree 3 can be separated into 3 factors, a polynomial of degree 4 can be factored into 4 factors, etc.
