Solving Quadratics
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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| Linear equation | An equation that has a variable that is to the first power. In other words, a particular change in the x-direction leads to a directly proportional change in the y-direction.
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| Quadratic expression | Polynomials of the form ax^2+bx+c , where a, b, and c are real numbers, and a is a nonzero number.
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| Quadratic equation | An equation that includes a quadratic expression.
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| Descending order | When terms are written from greatest to least degree.
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| Leading term | The term with the greatest degree.
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| Degree of a Monomial | The sum of the exponents of all of a term's variables.
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| Degree of a Poylnomial | The greatest degree of its terms.
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| Evaluate | Substitute given values for their respective variables and then simplify accordingly.
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| Order of operations | The established sequence in which math is performed from left to right on an expression in order to simplify. Simplify parenthetical operations 1st, exponential terms 2nd, multiplication and division 3rd, and add and subtract last.
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| Zero Product Property | If ab=0, then a=0 or b=0.
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| Leading term | The term with the greatest degree.
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| Square Root Property | If x^2=a, then x=±√a, where a is a number.
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| Completing the square | A method used to change the form of a quadratic equation of the form ax^2+bx+c=0, where a, b, and c are real numbers and a is non-zero, so that the left side of the equation becomes a perfect square trinomial.
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| Perfect square trinomial | A quadratic expression that is the product of a binomial, either (a+b) or (a−b), squared.
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| Quadratic formula | x=−b± √(b^2−4ac) / (2a), where a, b, and c are real numbers and a is non-zero.
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| Factoring | The process of rewriting an expression or polynomial as an equivalent product of two or more factors.
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| Greatest common factor (GCF) | The greatest factor all terms share in common.
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| Difference of squares | A quadratic expression of the form a^2−b^2 that can be factored as (a+b)(a−b).
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| Quadratic inequality | An inequality that contains a quadratic expression.
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Created by:
schaffermath
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