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Final Jeopardy Question
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Final Jeopardy Question

Solve for x.  Check for extraneous solutions.  

(x^2 +8)/x-1=(2(x+4))/x 

100

3x3 − 18x2 − 21x

3x(x − 7)(x +1)

100

5x3 + 125x

5x(x2 + 25)

100

If the area of a rectangle is the expression (x2 + 15x + 36) and the length is (x + 3), then what is the expression for the width? 

x + 12

200

2x2 − 9x + 10

(2x − 5)(x − 2)

200

16x2 + 8xy + y2

(4x + y)2

200

Solve:  2x3 = 50x

x = 0, 5, -5

300

(x − 4)2 + 3(x − 4) − 18

(x + 2)(x − 7)

300

64x− 27y3

(4x−3y)(16x2+12xy+9y2)

300

One leg of a right triangle is 3 cm less than the longer leg.  If the hypotenuse is 15 cm, then find the length of the shorter leg.

9 cm

500

4x2n + 12xn + 9

(2xn + 3)2

500

625x4 − 256

(25x2+16)(5x+4)(5x−4)

500

Suppose a rock is thrown upward from the top of a 256-foot tall building at an initial velocity of 96 ft/sec. The height h(t) of the rock in feet after t seconds is given by the function, h(t) = −16t2 +v0t + h0, where v0 is initial velocity and h0 is initial height. How long does it take the rock to hit the ground, neglecting air resistance? 

8 seconds

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