quadratic form

American  

noun

Mathematics.

1. a polynomial all of whose terms are of degree 2 in two or more variables, as 5 x 2 − 2 xy + 3 y 2 .

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Etymology

Origin of quadratic form

First recorded in 1855–60

Example Sentences

Identify a substitution that will put the equation in quadratic form.

From Textbooks • May 6, 2020

We summarize the steps to solve an equation in quadratic form.

From Textbooks • May 6, 2020

Notice that trigonometric equations that are in quadratic form can yield up to four solutions instead of the expected two that are found with quadratic equations.

From Textbooks • Feb. 13, 2015

Look for patterns, like the difference of squares, quadratic form, or an expression that lends itself well to substitution.

From Textbooks • Feb. 13, 2015

Solve by three methods—formula, factoring, and completing the square: Review equations in the quadratic form and solve: 2.

From A Review of Algebra by Rivenburg, Romeyn Henry