It is also known as a 'Quadratic Eq'n'.
It is algebraically expressed as
Ax^(2) + Bx + C = 0
The 'A' 'B' & 'C' can be any number.
The 'degree 2' comes the maximum power/exponential of 'x' , which is 'x' raised to the second power ' x^(2)'.
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
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.
A third-degree equation has, at most, three roots. A fourth-degree polynomial has, at most, four roots. APEX 2021
seventh degree polynomial x3 times x4 = x7
A fourth degree polynomial.
A Quadratic
quadratic
The highest power of 'x' in the equation. Ax^(2) + Bx + C = 0 is of degree - 2 AX^(3) + BX^(2) + Cx + D = 0 is of degree - '3'. et seq., The ' A B C D ' are numeral coefficients, and do not bear on the degree of the equation.
No. A polynomial can have as many degrees as you like.
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? 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
The polynomial equation is x2 - x - 1 = 0.
It's quite convenient, for it offers a general method to solve any equation that involves a polynomial of degree two (in one variable).
Assuming you mean a fourth degree polynomial,P4 = x4 + 1P3 = x3 + 1P4*P3 = x7 + x4 + x3 + 1 is a seventh degree polynomial.
Because if you plot the point on a graph that the equation generates, it will produce a straight line(Linear). NB An eq'n of the form Ax^(2) + Bx + C = 0 is NOT linear, because in plotting the points on a graph it produces a curved bowl/umbrella.
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.
A third-degree equation has, at most, three roots. A fourth-degree polynomial has, at most, four roots. APEX 2021