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Practice problem

Factoring Quadratic x²+bx+c with Positive b

By Taylor Evans
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Elizabeth wants to expand her patio, which is currently a square of side length xx feet. Because she wants to be able to keep a pattern with 1' by 1' tiles, she can only increase each dimension by a whole number of feet.

If the area of her new patio is x2+4x+3 ft2x^2+4x+3\text{ ft}^2, by how many feet should Elizabeth increase the length and width of her original patio?

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