1) Which of the following quadratic equations can be solved easily by extracting square roots? a) x² +10x + 25 = 0 b) x² - 81 = 0 c) 2x² + 4x = 0  d) x² - 2x = 0 2) The roots of a quadratic equation are 4 and -3. Which of the following quadratic equations has these roots? a) (x + 4) (x + 3) = 0 b) (x + 4) (x - 3) = 0 c) (x - 4) (x + 3) = 0 d) (x - 4) (x - 3) = 0 3) One of the roots of  x² + 3x - 4 = 0 is 1. What is the other root? a) -5 b) -4 c) 4 d) 5 4) How many real solutions does the quadratic equation x² + 6 = 5 have? a) Two real solutions b) One real solution c) Has no real solutions d) Cannot be determined 5) Which of the following quadratic equations cannot be solved by factoring? a) x² + 5x = 0 b) x² + 5x + 6 = 0 c) 4x² - 16 = 0 d) x² + 2x + 3 = 0 6) What are the solutions of the quadratic equation ( x - 2 ) ( x - 1 ) = 0? a) 1 and 2 b) 1 and -2 c) -1 and 2 d) -1 and -2 7) Which of the following quadratic equations has no real solution? a) x² = 9 b) x² - 4 = 0 c) x² + 9 = 0 d) x² - 16 = 0 8) The solutions of the quadratic equation x² + x - 56 = 0 are _____. a) 1 and -56 b) 2 and -28 c) 4 and -14 d) 7 and -8 9) Which of the following are the roots of the quadratic equation x² - x - 20 = 0? a) -5 b) -4 c) 4 d) 5 10) How many real solutions does the quadratic equation x² + 6x + 9 = 0 have? a) 0 b) 1 c) 2 d) Cannot be determined

Solving Quadratic Equations By Factoring and Extracting Square Roots

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