U of M
MATH 1051 -
Worksheet
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Math 1051, Summer 2007, Worksheet 51. Simplify the following:(a)[4x3− (2x2− x − 1)] − [5x3− (x2+ 2x − 1)](b)−36x3y5z2xy5z(c)(xny)(2x2ny2)(3x2)(d)(3x + 4)3(e)(2x − y + z4) ∗ (y3− z)2. Factor the following polynomials:(a)27xy − 36y(b)3ax − 3bx − ay + by(c)9x2− z6(d)x6− y613. Solve the following equations:(a)x2− x = 0(b)y2− ay + 2by − 2ab = 0 for y(c)x4− 81 = 04. The area of a circle is equal to four times the length of the circumference.What is the radius of the circle?5. A rectangle is three times as long as it is wide, and its area is 147 squareunits. Find the length and
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