Lt Math Assignment

MTH/209 Week 2

Weekly Team A Summary

University of Phoenix

Week 2 Difficult Problems

Team A has consolidated several problems from our homework section that are somewhat difficult.

: #7 A cube has a surface area of . Find the length of a side (Hint: First factor out the GCF)

The surface area of a cube equals the area of a face times the number of faces.

First divide by 6, the numbers of faces in a cube, to find the area of each face.

Next factor the remaining trinomial representing the area of a face. Because the area is equal to the product of the sides, each factor will then represent the length of a side. To factor a trinomial of the form + bx + c, find two numbers m and n that satisfy mn=c and m+n=b. Then + bx + c = (x+m) (x+n). To factor find two numbers whos product is 64 and sum is 16

Because there are fewer pairs of numbers whose product are 64 than there are pairs of number whose sum is 16, it is product to first consider these numbers who product is 64.

If two numbers have a product that is positive and a sum that is positive, they both are positive.

8 and 8 are two numbers that meet this requirement whose product is 64. What is the sum of 8 and 8? 16

The factorization above shows the product of the number of faces, 6, and the area of each face, (x+8)(x+8). Recall the area of a face of a cube is the square of the length of a side. Therefore, the length of a side is x+*

• Why do you think they were more difficult than others?

I believe that this problem is somewhat difficult to me because it is somewhat of a word problem and I’m pretty weak in that area.

• What did you do to overcome this difficulty?

I had to us the “Help Me Solve This” several time.

• How did you arrive at a solution?

I followed the step by step guide in the “Help Me Solve This”.

Factor the polynomial. X^3Y+X^2Y^2-5X^2Y-5XY^2

First you want to factor out the...