7.2-7.3 Flashcard Review

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What is partial fraction decomposition?

Back

Partial fraction decomposition is a technique used to express a rational function as a sum of simpler fractions, making it easier to integrate or analyze.

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What is the first step in finding the partial fraction decomposition of a rational function?

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The first step is to factor the denominator completely.

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What does it mean if a system of linear equations has no solution?

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It means that the equations represent parallel lines that never intersect.

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What does it mean if a system of linear equations has infinitely many solutions?

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It means that the equations represent the same line, and thus every point on the line is a solution.

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How do you solve a system of linear equations using substitution?

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You solve one equation for one variable and substitute that expression into the other equation.

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What is the solution to the system of equations represented by the points (-1, 3, -4)?

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The solution is the point where the equations intersect, which is (-1, 3, -4).

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What is the significance of the coefficients in a system of linear equations?

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The coefficients determine the slope and position of the lines represented by the equations.

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What is the method of elimination in solving systems of equations?

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The method of elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the others.