#### Find each of the following product by drawing and labeling a generic rectangle or by using the Distributive Property.

(x + 2) ( x - 1)

Anonymous

0

(x + 2) ( x - 1)

Sangeetha Pulapaka

1

Step 1: Recall what is a polynomial.

https://www.mathsisfun.com/algebra/polynomials.html

The first thing to do when provided with two polynomials that are to be multiplied is to set up the grid, with the terms from one of the polynomials across the top row, and the terms from the other down the leftmost column.

Step 2: Recall the rules of exponents.

https://www.qalaxia.com/viewDiscussion?messageId=5cdad460f32dc9584bdccec7

Each term is multiplied.

,Multiply x^{1} \times x^{1} = x^{1+1} = x^{2}.

Multiply two variables

Multiply x\times 2 = 2\times x

Multiply -1\times x = -x

Multiply -1\times 2 = 2

Step 3: Recall what a polynomial expression is

https://en.wikipedia.org/wiki/Polynomial

Diagonal terms are subtracted to get the middle term of the polynomial expression

Step 4: Write the remaining diagonal terms in the grid to get the polynomial expression

x^{2} + x - 2