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An example of an equation with one variable that has an exponent of 2 is ( x^2 - 5x + 6 = 0 ). This quadratic equation can be factored into ( (x - 2)(x - 3) = 0 ), giving the solutions ( x = 2 ) and ( x = 3 ). Quadratic equations like this one typically represent parabolic graphs.

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What the highest exponent of the leading variable in a quadratic equation?

2.


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


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you CAN have a variable as an exponent.For example, look at the equation 2x =4. We know x=2


When is an equation not quadratic?

When it has no squares (exponent of 2).If an equation of one variable can be rearranged into a polynomial a*x^2 + b*x + c = 0, where x is the variable, and [a,b, & c] are constants and a does not equal zero, then it is a quadratic equation.If it has more than one variable, or higher powers of the variable x, then it is not a quadratic equation. See related link.


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When multiplying a variable with an exponent by a variable without an exponent, you add the exponent of the first variable to the exponent of the second variable (which is considered to be 1). For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3). This rule applies to variables with the same base.


Can you multiply a variable with an exponent with a variable without an exponent?

Yes, you can multiply a variable with an exponent by a variable without an exponent. When you do this, you simply add the exponents of the same base. For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3).


What is a quadratic eqation?

A quadratic equation is an equation where the highest exponent on the variable is 2. For example, the equation, y=2x2+3x-2 is a quadratic equation. The equation y=2x is not quadratic because the highest exponent on x is 1. (If there is no exponent on an x, then the exponent is 1.) The equation, y=x3+3x2-2 is not quadratic because the highest exponent is three. On a graph, a quadratic equation looks like a U or and upside down U. Here are some more example of quadratic equations: y=x2 y=3x2+2x-3 y=x2+5


What is the standard from of a linear equation?

A linear equation is that equation in which a variable or variables has exponent equal to 1. For example, standard form of linear equation in one variable: a1x + a2x +.......+ anx = c Standard form of a linear equation : a1x + a2x +.........+ anx = c e.g. 4x + 3 =6, 3x + 6y + 5z = 2 etc.


Where would you find the coefficient in an equation in science?

The term coefficient refers to a number that is next to a variable. For example in the term 4x2, 4 is a coefficient, and 2 is an exponent; x is a variable.


What is a monomial in algebra?

A monomial is an expression made up of a co-efficient, a variable , and an exponent that has only one term. Monomial = 4x ^2 4= co-efficient x=variable 2= exponent.


Can a polynomial have a variable exponent?

No. An expression can have a variable exponent (for instance, 2 to the power x, or x to the power y), but that is no longer a polynomial.


How can you tell if an equation is quadratic?

An equation is quadratic if it can be expressed in the standard form ( ax^2 + bx + c = 0 ), where ( a ), ( b ), and ( c ) are constants, and ( a \neq 0 ). The presence of the ( x^2 ) term is a key indicator, as quadratic equations always include this squared variable. If the highest exponent of the variable is 2, the equation is quadratic. Additionally, if the graph of the equation forms a parabola, it is also a sign that the equation is quadratic.