Question

Factor 1

Use algebra tiles to represent this polynomial: x2 -5x - 1


Product


Step 1: Drag one xtile to the section labeled Product.


Factor 2


Check

Answer 1

Answer:

(drag one tile) +x 2 into the product then click check.

(drag five) -x into the product then click check.

(drag one) - tile into the product and click check..

Explanation:

Answer 2

See explanation and attachment.

Explanation:

One of the ways to represent polynomial is the use of algebraic tiles.

To represent the polynomial x²-5x-1, we would use algebraic tiles to represent each of the three terms.

Algebra tiles come with different colors and sizes. Each size is equivalent to a degree of different monomials.

The x² tile is a monomial with degree of 2, the x tile is a monomial with degree of 1 and the unit tile (constant) is a monomial with degree of 0.

Let the shaded tiles represent the positive tiles and the unshaded tile represent the negative tiles.

Find attached the diagram for the tiles.

To represent the polynomial x² - 5x - 1, we would need 1 shaded x² tile, 5 unshaded x tiles and 1 unshaded unit tile. Then we would arrange the tiles to correspond with the polynomial.