1) Which of the following techniques are NOT used when analyzing quadratics? a) Completing the Square b) Standard Factoring c) Simon's Favorite Factoring Trick d) Vieta's Formulas e) U-Substitution f) Quadratic Formula 2) Which of the following is NOT a solution to the following equation: x3 + 7x2 + 10x = 0. a) -5 b) -7 c) -2 d) 0 3) Which of the following is true about x^2 + 5x + 9 = 0? a) One real solution b) One imaginary solution c) No solution d) Two imaginary solutions e) Two real solutions 4) Which of the following is the square of the sum of the roots of a quadratic? a) sqrt(a2 + c2) b) a2/b2 c) c2/a2 d) (ab)/(a+b) e) (a+b)2/2 f) b2/a2 5) What would you add to the left side to complete the square: x^2 + bx = c? a) c2/2 b) (b+c)2/2 c) b2/4 d) b2/2 e) (c-b)2/2 f) c2/4 6) Which of the following expressions determines real or imaginary solutions to a quadratic? a) a2-4bc b) b2-4ac c) c2-4ab d) b2-4bc 7) What is (x2+1)2? a) x4+1 b) x4+2x2+1 c) x4+x2+1 d) x4+3x2+1 e) x4+x2 8) What are imaginary numbers anyway? a) Numbers that don't really exist b) Peculiar numbers c) Numbers that extend real numbers d) Numbers that arise from taking square root of negatives 9) Find imaginary solutions: x4+12x2-13=0 a) 1, -1 b) i*sqrt(13),-i*sqrt(13) c) i*2sqrt(3),-i*2sqrt(3) d) i, -i e) i*sqrt(21),-i*sqrt(21) f) None of the options 10) Find the real solutions: x4+12x2-13=0 a) 13, -13 b) 13, -1 c) i*sqrt(13), -i*sqrt(13) d) 1, -1 e) 1, -13 f) None of the options 11) How many solutions are there to a polynomial of degree n? a) n-2 b) n c) n+2 d) n-1 e) n+1 f) n/2 12) Solve for x: x4-x2=0 a) 2,-2, 0 b) 0.5,-0.5 c) 1, -1, 0 d) 1, 2, 3 e) -3, 3, 0 f) 0.25, -0.75, 0
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