Question 97781
1.  A rectangular painting with a width of x cm. has an area of x^2 + 50x sq. cm.  Find a bionomial that represents the length.  

Let the length be L
Area = length * width

x^2 + 50x = L*x
L*x = x^2 + 50x ( simply rewriting the equation by reversing the sides)
L= x + 50 (dividing by x on both sides)


2.  2x^2-x-10  factor polynomial completely

2x^2 -x -10
2x^2 -5x + 4x -10
x(2x - 5) +2(2x-5)
(2x-5)(x+2)


3.  v^2 - 22v - 75  Factor polynomial

v^2 -22v -75
v^2 -25v + 3v -75
v(v-25) +3(v-25)
(v-25)(v+3)