SOLUTION: I am having difficulty in understatnding these question. Kindly help me. 1. A rectangular painting with a width of x cm. has an area of x^2 + 50x sq. cm. Find a bionomial tha

Question 97781: I am having difficulty in understatnding these question. Kindly help me.
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.
2. 2x^2-x-10 factor polynomial completely
3. v^2 - 22v - 75 Factor polynomial
Thank you
Answer by mathslover(157) (Show Source): You can put this solution on YOUR website!
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)

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