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

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

From Textbooks • May 6, 2020

If the substitution gives us an equation of the form ax2 + bx + c = 0, we say the original equation was of quadratic form.

From Textbooks • May 6, 2020

However, recognizing that it fits the criteria for being in quadratic form makes all the difference in the solving process.

From Textbooks • Feb. 13, 2015

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

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