Exam 5: Section 2: Factoring

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Factor. tu + 5u - 7t - 35

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(t + 5)(u - 7)

Factor the polynomial below completely, given that the binomial following it is a factor of the polynomial. u3 + 2u2 - 11u - 12, u - 3

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(u - 3)(u + 1)(u + 4)

Factor the given polynomial completely. If the polynomial is prime, say so. c3 + cd + 3c2 + 3d

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(c + 3)(c2 + d)

Factor. 8x3 - 27

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Factor out the opposite of the greatest common factor. 10z3 - 2z2

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Factor. 9z2 - 6z + 1

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Factor. q2 + 6qr + 36r2

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Solve the equation. Solve the equation.

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Factor the given polynomial completely. If the polynomial is prime, say so. 7w2 - 24w - 16

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Factor. uvw + 9u + 5vw + 45

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Factor the given polynomial completely. If the polynomial is prime, say so. n2 - 2n

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Factor the given polynomial completely. z6 + 2z3 - 3

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Audrey uses a slingshot to shoot a marble from a window. The height of the marble h(t) in feet at time t seconds is given by the function h(t) = -16t2 - 62t + 188. How many seconds elapse before the marble hits the ground?

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Find the greatest common factor for the given numbers. 36, 80, 120

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Factor. 9y2 - 100

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Factor the given polynomial completely. 7p2q - 28pq + 21q

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Factor the given polynomial completely. x4 + y4

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Factor out the greatest common factor. -63q2r2 - 45q2r + 54qr2

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Find the greatest common factor of the given terms. 8qr, 28rs, 12qs

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Solve the given equation. x3 + 5x2 - 2x - 24 = 0

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