1)2x^2+2xy+y^2 factor completely ( if its prime state this)

2)The length of a rectangular frame is 8 cm more than the width. The area inside the frame is 65 square cm. Find the width of the frame.

3)The shortest side of a right triangle measures 7 m. The lengths of the other two sides are consecutive integers - the hypotenuse being the longer of the two. Find the lengths of the other two sides.

4)In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by the equation shown below.

N=n^2-n

What is the total number of games to be played in a football league having 21 teams?

5)Solve by factoring and using the principle of zero products.

4x^2=-11x-6

6)Solve by factoring and using the principle of zero products.

x^2+9x-36=0

7)Factor completely. If the polynomial is prime, state this.

s^4-r^4

8) x^3+2x^2-63x factor completely

9) Factor by grouping, if possible.

5x^3-25x^2-4x-20

10)A triangle is 3 cm wider than it is tall. The area is 44 cm^2

Find the width (length of the base).

A triangle of height h has a horizontal base of length h plus 6.nbsp h plus 3 nbsp

please show work for all

 

 

 

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