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Interpret geometrically the factors of a quadratic expression of the type
ax2
+bx+c (where a=1) using square grids.
Answers
Answer:
Aim To represent x2+5x+6
Material Required Paper grid, rectangular strips and slips.We call them algebra tiles.
Procedure
To represent this we need 1 square tile representing x2 , 5 algebra tiles representing x and 6 algebra tiles representing 1.
· By splitting the middle term of the given polynomial we get the expression
x2+3x+2x+6
· Place a square tile of dimension 10X10 representing x2 .
· Add 3 tiles of dimension 10 X 1 each to any side of the tile x2.The area of new shape formed represents x2+3x.
· Add 2 tiles of dimension 10 X 1 each to the side adjacent to the previous side. The area of new shape formed represents x2+3x+2x.
· Add 6 tiles of dimension 1 X 1 each to complete the rectangle. The area of new shape formed represents x2+3x+2x+6.
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