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Math 169: Test for Chapter 6, sections 1-2

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6.1 Solving Quadratic Equations by Factoring

Solve by changing the equation to the form x² = k and then taking the square root of both sides.

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Solve by changing to the form ax² + bx = 0 and then removing the common factor x.

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Solve by changing to the form ax² + bx + c = 0 and then factoring.

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Solve by first multiplying both sides by the LCD. Remember to reject a root if it results in division by zero upon substitution in the original problem.

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6.2 Solving Quadratic Equations by Completing the Square and the Quadratic Formula

____________________	8.	Consider the quadratic expression Find the value of k for which the expression is a perfect square trinomial.

____________________	9.	Convert the binomial to a perfect square trinomial by adding the proper constant. Then, write your answer by expressing the resulting trinomial as the square of a binomial.

Solve each of the following problems by using the quadratic formula.

	-b ±
x =
	2 a

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____________________	16.	The square of a certain negative number increased by

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