Question

an equation involving only linear polynomials is called a _.
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Answer 1

➠ AnSwer :-

➝ Linear Equation:-

• An equation involving only linear polynomials is called a linear equation.

Answer 2

Answer:

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An equation involving only linear polynomials is called a Linear Equation.

-: Additional Information :-

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• In mathematics, a linear equation is an equation that may be put in the form

${\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0,}$

${\displaystyle x_{1},\ldots ,x_{n}}$

are the variables (or unknowns), and

${\displaystyle b,a_{1},\ldots ,a_{n}}{\displaystyle b,a_{1},\ldots ,a_{n}}$

are the coefficients, which are often real numbers.

• The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables.
• To yield a meaningful equation, the coefficients

${\displaystyle a_{1},\ldots ,a_{n}}a_1, \ldots, a_n$

• are required to not all be zero.

• Alternatively a linear equation can be obtained by equating to zero a linear polynomial over some field, from which the coefficients are taken.

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