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What the highest exponent of the leading variable in a quadratic equation?
2.
Why does quadratic equation called quadratic equation?
Quadratic equations are called quadratic because quadratus is Latin for ''square'';in the leading term the variable is squared. also...it is form of ax^2+bx+c=0
How do you complete the square when the leading coefficient is not 1?
How does the leading coefficient a affect the graph?
idk
What are the terms of an equation?
For an expression/equation such as this example, -12x^4-8x^2-7, the terms would be as follows: Term 1: -12x^4 Term 2: -8x^2 Term 3: -7 This particular equation has 3 terms, 3 coefficients, but only 1 leading coefficient. These are as follows also: Coefficient 1: -12 Coefficient 2: -8 Coefficient 3: -7 And the last one: Leading Coefficient: -12 Generally the answers are written in descending order according to their exponential power above the variable, which in this case is "x". This means the greater the power of "x", the sooner it will be written down. X^4 is first, x^2 is next, and x^0 is last. Note: x^0 always equals 1.
Choose the quadratic equation with a leading coefficient of 1 that has as solutions -4 and 7?
x^2-3x-28=0...................
What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
If the discriminant of an equation is positive is true of the equation?
If the discriminant of a quadratic equation is positive, it indicates that the equation has two distinct real roots. This means that the graph of the equation intersects the x-axis at two points. A positive discriminant also suggests that the solutions are not repeated and that the parabola opens either upward or downward, depending on the leading coefficient.
What is the highest exponent of the leading variable in a quadratic equation?
the highest exponent of quadratic equation is 2 good luck on NovaNet peoples
Why a quadratic equation is called quadratic?
Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared.
What the highest exponent of the leading variable in a quadratic equation?
2.
Why does quadratic equation called quadratic equation?
Quadratic equations are called quadratic because quadratus is Latin for ''square'';in the leading term the variable is squared. also...it is form of ax^2+bx+c=0
Why do you set each factor equal to zero when solving a quadratic equation by factoring?
When solving a quadratic equation by factoring, we set each factor equal to zero because of the Zero Product Property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. By setting each factor to zero, we can find the specific values of the variable that satisfy the equation, leading to the solutions of the quadratic equation.
How do you find zeros when the leading coefficient is one?
The answer depends on the what the leading coefficient is of!
What is the leading coefficient of each fungtion?
what is the leading coefficient -3x+8
How does changing the sign of the leading coefficient in an equation of the form y equals ax2 affect its graph?
It gets reflected in the x-axis.
