MATH 100 Midterm: MATH 100 KSU Test 3s02

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Show all your work: (10 points) for the parabola y = 2x2 (a) give the coordinates of the vertex. 8x + 7: (b) give the coordinates of the x-intercepts: (10 points) perform the indicated division to write the improper fraction as a polynomial plus a proper fraction: 2x4: (7 points) (a) find the constant c such that (x + 2) divides evenly into x3. 3x2 + 2x + c (i. e. , the remainder when x3. 3x2 + 2x + c is divided by (x + 2) is zero). (b) given that 1 + 2i is a zero of x5. 7x + 5 specify another complex zero. 8x 12 (b) find the rational zeros (use your calculator to reduce the possibilities): (6 points) give the equation of the parabola with vertex (2, 5) and going through (0, 7). You can leave your answer in standard form y = a(x h)2 + k: (11 points) f (x) = x4 (a) given that (x2.