The lengths of the sides of the rectangles are;
a. (2•x + 3) and (x + 2)
b. (6•x + 2) and (x + 1)
c. (x + (2 + √3)) and (x + (2-√3))
Which method can be used to find the side lengths of the rectangles?
The given functions are presented as follows;
a. 2•x² + 7•x + 6
By factoring of the above function we have;
2•x² + 7•x + 6 = (2•x + 3) × (x + 2)
The lengths of the sides of the rectangle are therefore;
b. 6•x² + 7•x + 2
The above function can be factored as follows;
6•x² + 7•x + 2 = (6•x + 2) × (x + 1)
The rectangle side lengths are;
c. x² + 4•x + 1
Using the quadratic formula, the above function can be factored to give;
x² + 4•x + 1 = (x + (2 + √3)) × (x + (2-√3))
The sides of the rectangle are therefore;
- (x + (2 + √3)) and (x + (2-√3))
Learn more about factoring quadratic equations here:
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