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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.
Discovered quadratic equation?
Quadratic equation
How do quadratic inequalities differ from quadratic equations?
I dont know the answer
What does a quadratic look like?
A quadratic equation looks like bow.
What is the quadratic equation used for?
It is used to solve quadratic equations that cannot be factored. Usually you would factor a quadratic equation, identify the critical values and solve, but when you cannot factor you utilize the quadratic equation.
What is an example of cubic binomial?
An example of a cubic binomial is ( (x + 2)(x^2 - 3x + 4) ). When expanded, this expression produces a polynomial of degree three, as it involves a linear term multiplied by a quadratic term. The result is a cubic polynomial, showcasing the characteristics of a binomial (two terms) multiplied by a trinomial (three terms).
What is a binomial of degree 2?
A binomial of degree 2 is a polynomial expression that consists of two terms and has a total degree of 2. An example of such a binomial is ( ax^2 + bx ), where ( a ) and ( b ) are constants, and the highest exponent of the variable ( x ) is 2. This type of binomial can be factored or used in various mathematical applications, including quadratic equations.
You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial what?
You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial factors! Source: I am in Algebra 2 Honors!
You can easily identify the x-intercepts of the graph of a quadratic function by writing it as two binomial?
factors
Can you give one example of a binomial?
One example of a binomial is (x + 2).
What does quadratic equations using the factoring method means?
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
Which of the followng is a example of a binomial is it 2y or 2xy?
Neither of those expressions is a binomial. [ 2y + 2xy ] is a binomial.
Explain cubic binomial quadratic trinomial and linear binomial?
Binomials are algebraic equations with two different terms. Trinomials are algebraic equations with three different terms. For example, w^2 + 7w + 7 would be a trinomial because there are three terms in it and you can't simplify it any further. w + 7w would not be a binomial because you could still simplify it to be 8w, which is a monomial. w + 7 would be a binomial because there are two terms in it and you can't simplify it any further. Monomials have one term, binomials have two, trinomials three, and four terms and on are called polynomials. A linear binomial would be a binomial in which the highest exponent, or power, is one. For example, x + 2. A quadratic trinomial is a trinomial in which the highest exponent or power is two, or the second power. For example, w^2 + 7w + 8. A cubic binomial is a binomial in which the highest exponent or power is 3. For example, 7w^3 + x^2. Since three is larger than two, it is the highest power and the equation is a cubic binomial. Equations to the fourth power and on are simply called fourth degree, fifth degree, and so forth. For example, fourth degree binomial, sixth degree trinomial, and fifth degree monomial. To sum it up, Monomial = one term Binomial = two terms Trinomial = three terms Polynomial = +4 terms Linear = 1 is the highest power/exponent Quadratic = 2 is the highest power/exponent Cubic = 3 is the highest power/exponent Fourth degree, fifth degree, sixth degree, etc. = the highest power/exponent is four or larger.
How do you solve binomial?
To solve a binomial expression, you typically simplify or factor it. If you're solving an equation set to zero, you can use methods like factoring, completing the square, or applying the quadratic formula if it's a quadratic binomial. For binomials, you may also apply the difference of squares or the sum/difference of cubes formulas if applicable. Always ensure to check your solutions by substituting them back into the original expression.
What is the discriminant of a binomial?
The discriminant of a binomial, typically referring to a quadratic expression in the form ( ax^2 + bx + c ), is calculated using the formula ( D = b^2 - 4ac ). However, a true binomial lacks the ( c ) term, so for a binomial like ( ax^2 + bx ), the discriminant simplifies to ( D = b^2 ). This indicates whether the quadratic has real roots: if ( D > 0 ), there are two distinct real roots; if ( D = 0 ), there is one real root; and if ( D < 0 ), there are no real roots.
Is 2y or 2xty an example of a binomial?
No
What is the example of cube a binomial?
99x99x99
