precal test unit 5

Use a polar coordinate system to plot the point with the given polar coordinates. (-4, 405°)

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Use a polar coordinate system to plot the point with the given polar coordinates.

(4, 315°)

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The rectangular coordinates of a point are given. Find polar coordinates of the point. Express θ in radians. (-5√2, -5√2)

• (5√2, 225°)

• (10, 225°)

• (10, 135°)

• (5√2, 135°)

Find the absolute value (modulus) of the complex number. z = 14 - 11i

• √317

• 5

• √3

• 5√3

Add or subtract as indicated and write the result in standard form. (-7 + 6i) - 9

• 2 + 6i

• -16 + 6i

• 2 - 6i

• 16 - 6i

Find the product of the complex numbers. Leave answer in polar form. z1 = 5(cos 40° + i sin 40°) z2 = 2(cos 8° + i sin 8°)

• 7(cos 48° + i sin 48°)

• 7(cos 320° + i sin 320°)

• 10(cos 32° + i sin 32°)

• 10(cos 48° + i sin 48°)

Find a set of parametric equations for the rectangular equation. y = 2x + 3

• x = t; y = 2t+3

• y = 2t; x = t - 3

• x = t/(2); y = t + (3/2)

• x = t; y = 2t + 3

Which of the following is the correct factorization of x^2+16 ?

• (x-4)(x+4)

• (x+4i)(x-4i)

• (x-2i)(x+2i)

• (x+4)^2

Write the complex number in polar form. Express the argument in degrees. 6i

• 6(cos 180° + i sin 180°)

• 6(cos 0° + i sin 0°)

• 6(cos 270° + i sin 270°)

• 6(cos 90° + i sin 90°)

Find an nth degree polynomial function with real coefficients satisfying the given conditions. n = 3; -2 and -2 + 3i are zeros; leading coefficient is 1

• f(x) = x^3 - 4x^2 + 21x + 26

• f(x) = x^3 + 6x^2 + 15x + 26

• f(x) = x^3 + 6x^2 + 21x + 26

• f(x) = x^3 + 5x^2 + 21x - 14