MVP M1 7.3 Set: Representing binomial factors in an area diagram

Directions:

Construct a diagram that represents the area described by the given expression. Use your diagram to find an expression in the form that also describes the area of your diagram. NOTE: Make sure the arrow is selected in order to move algebra tiles in the workspace.

MVP 7.3 Set Problem 9

Diagram

Write an expression to represent the area using standard form (). Use the ^ key to type your expression below in the form A(x)=___.

MVP 7.3 Set Problem 10

Diagram

Write an expression to represent the area using standard form (). Use the ^ key to type your expression below in the form B(x)=___.

MVP 7.3 Set Problem 11

Diagram

Write an expression to represent the area using standard form (). Use the ^ key to type your expression below in the form C(x)=___.

MVP 7.3 Set Problem 12

Diagram

Write an expression to represent the area using standard form (). Use the ^ key to type your expression below in the form D(x)=___.

MVP 7.3 Set Problem 13

Look back at each expression that you wrote in the form that also describes the area of your diagram. The coefficients ((a) and (c) should be the same in each problem. Explain why you think the coefficient (b) of the middle term is different in each problem when the “outside” coefficients (a) and (c) are the same.

Draw a diagram that represents the area described by the given expression. Next, rewrite the area function in the form .

MVP 7.3 Set Problem 14

Diagram

Write an expression to represent the area using factored form (). Remember to include the f(x)=(__ + __)(__ + __).

MVP 7.3 Set Problem 15

Diagram

Write an expression to represent the area using factored form (). Remember to include the g(x)=(__ + __)(__ + __).

Figure out what these expressions mean by finding the sides of rectangles that have the given area. Use the sides of the rectangle to write an equivalent expression for the area (as the product of two factors).

MVP 7.3 Set Problem 16

Diagram

Write an expression to represent the area using factored form ().

MVP 7.3 Set Problem 17

Diagram

Write an expression to represent the area using factored form ().

MVP 7.3 Set Problem 18

Diagram

Write an expression to represent the area using factored form ().

MVP 7.3 Set Problem 19

Diagram

Write an expression to represent the area using factored form ().