to interpret geometrically the factors of a quadratic expression of type x²+bx+c using square grids, strips and paper slips

Question

to interpret geometrically the factors of a quadratic expression
of type x2+bx+c using square grids, strips and paper
slips

Lovina Kansal · Accepted Answer

Dear student

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
<img src=
"http://4%20bp%20blogspot%20com/_bMI-KJUhzj4/RoyO-SzsyGI/AAAAAAAAAcA/N6E2YSY3HO4/s400/r1%20jpg">

Regards

to interpret geometrically the factors of a quadratic expression of type x2+bx+c using square grids, strips and paper slips

to interpret geometrically the factors of a quadratic expression of type x²+bx+c using square grids, strips and paper slips